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Finding the Fourth Proportional to 524,714.40, 787,071.60 and 419,738.40

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Solution

The fourth proportional to 524,714.40, 787,071.60 and 419,738.40 is: 629,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,714.40 : 787,071.60 = 419,738.40 : x
  2. Step 2: Convert to fraction form
    524,714.40/787,071.60 = 419,738.40/x
  3. Step 3: Cross multiply
    524,714.40x = 787,071.60 × 419,738.40
  4. Step 4: Simplify right side
    524,714.40x = 330,364,174,069.44
  5. Step 5: Solve for x
    x = 330,364,174,069.44/524,714.40
  6. Step 6: Final answer
    x = 629,607.60

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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.