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Finding the Fourth Proportional to 417,386.98, 575,989.95 and 226,397.62

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Solution

The fourth proportional to 417,386.98, 575,989.95 and 226,397.62 is: 312,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,386.98 : 575,989.95 = 226,397.62 : x
  2. Step 2: Convert to fraction form
    417,386.98/575,989.95 = 226,397.62/x
  3. Step 3: Cross multiply
    417,386.98x = 575,989.95 × 226,397.62
  4. Step 4: Simplify right side
    417,386.98x = 130,402,753,823.92
  5. Step 5: Solve for x
    x = 130,402,753,823.92/417,386.98
  6. Step 6: Final answer
    x = 312,426.50

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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.