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Finding the Fourth Proportional to 417,386.48, 575,989.26 and 226,397.12

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Solution

The fourth proportional to 417,386.48, 575,989.26 and 226,397.12 is: 312,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,386.48 : 575,989.26 = 226,397.12 : x
  2. Step 2: Convert to fraction form
    417,386.48/575,989.26 = 226,397.12/x
  3. Step 3: Cross multiply
    417,386.48x = 575,989.26 × 226,397.12
  4. Step 4: Simplify right side
    417,386.48x = 130,402,309,614.93
  5. Step 5: Solve for x
    x = 130,402,309,614.93/417,386.48
  6. Step 6: Final answer
    x = 312,425.81

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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.