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Finding the Fourth Proportional to 410,451.41, 566,417.43 and 229,166.12

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Solution

The fourth proportional to 410,451.41, 566,417.43 and 229,166.12 is: 316,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,451.41 : 566,417.43 = 229,166.12 : x
  2. Step 2: Convert to fraction form
    410,451.41/566,417.43 = 229,166.12/x
  3. Step 3: Cross multiply
    410,451.41x = 566,417.43 × 229,166.12
  4. Step 4: Simplify right side
    410,451.41x = 129,803,681,901.38
  5. Step 5: Solve for x
    x = 129,803,681,901.38/410,451.41
  6. Step 6: Final answer
    x = 316,246.16

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Why These Related Problems?

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