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Finding the Fourth Proportional to 649,178.40, 973,767.60 and 491,714.40

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Solution

The fourth proportional to 649,178.40, 973,767.60 and 491,714.40 is: 737,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,178.40 : 973,767.60 = 491,714.40 : x
  2. Step 2: Convert to fraction form
    649,178.40/973,767.60 = 491,714.40/x
  3. Step 3: Cross multiply
    649,178.40x = 973,767.60 × 491,714.40
  4. Step 4: Simplify right side
    649,178.40x = 478,815,551,173.44
  5. Step 5: Solve for x
    x = 478,815,551,173.44/649,178.40
  6. Step 6: Final answer
    x = 737,571.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.