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Finding the Fourth Proportional to 417,064.08, 625,464 and 150,789.36

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Solution

The fourth proportional to 417,064.08, 625,464 and 150,789.36 is: 226,136.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,064.08 : 625,464 = 150,789.36 : x
  2. Step 2: Convert to fraction form
    417,064.08/625,464 = 150,789.36/x
  3. Step 3: Cross multiply
    417,064.08x = 625,464 × 150,789.36
  4. Step 4: Simplify right side
    417,064.08x = 94,313,316,263.04
  5. Step 5: Solve for x
    x = 94,313,316,263.04/417,064.08
  6. Step 6: Final answer
    x = 226,136.27

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