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Finding the Fourth Proportional to 487,400.60, 730,226.10 and 417,416.60

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Solution

The fourth proportional to 487,400.60, 730,226.10 and 417,416.60 is: 625,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,400.60 : 730,226.10 = 417,416.60 : x
  2. Step 2: Convert to fraction form
    487,400.60/730,226.10 = 417,416.60/x
  3. Step 3: Cross multiply
    487,400.60x = 730,226.10 × 417,416.60
  4. Step 4: Simplify right side
    487,400.60x = 304,808,495,893.26
  5. Step 5: Solve for x
    x = 304,808,495,893.26/487,400.60
  6. Step 6: Final answer
    x = 625,375.71

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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.