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Finding the Fourth Proportional to 649,142.40, 973,713.60 and 369,206.40

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Solution

The fourth proportional to 649,142.40, 973,713.60 and 369,206.40 is: 553,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,142.40 : 973,713.60 = 369,206.40 : x
  2. Step 2: Convert to fraction form
    649,142.40/973,713.60 = 369,206.40/x
  3. Step 3: Cross multiply
    649,142.40x = 973,713.60 × 369,206.40
  4. Step 4: Simplify right side
    649,142.40x = 359,501,292,887.04
  5. Step 5: Solve for x
    x = 359,501,292,887.04/649,142.40
  6. Step 6: Final answer
    x = 553,809.60

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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.