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Finding the Fourth Proportional to 410,451.59, 566,417.68 and 229,166.30

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Solution

The fourth proportional to 410,451.59, 566,417.68 and 229,166.30 is: 316,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,451.59 : 566,417.68 = 229,166.30 : x
  2. Step 2: Convert to fraction form
    410,451.59/566,417.68 = 229,166.30/x
  3. Step 3: Cross multiply
    410,451.59x = 566,417.68 × 229,166.30
  4. Step 4: Simplify right side
    410,451.59x = 129,803,841,637.21
  5. Step 5: Solve for x
    x = 129,803,841,637.21/410,451.59
  6. Step 6: Final answer
    x = 316,246.41

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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.