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Finding the Fourth Proportional to 417,287.68, 575,853.84 and 226,301.44

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Solution

The fourth proportional to 417,287.68, 575,853.84 and 226,301.44 is: 312,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,287.68 : 575,853.84 = 226,301.44 : x
  2. Step 2: Convert to fraction form
    417,287.68/575,853.84 = 226,301.44/x
  3. Step 3: Cross multiply
    417,287.68x = 575,853.84 × 226,301.44
  4. Step 4: Simplify right side
    417,287.68x = 130,316,553,221.53
  5. Step 5: Solve for x
    x = 130,316,553,221.53/417,287.68
  6. Step 6: Final answer
    x = 312,294.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.