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Finding the Fourth Proportional to 410,748.30, 566,812.32 and 229,424.10

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Solution

The fourth proportional to 410,748.30, 566,812.32 and 229,424.10 is: 316,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,748.30 : 566,812.32 = 229,424.10 : x
  2. Step 2: Convert to fraction form
    410,748.30/566,812.32 = 229,424.10/x
  3. Step 3: Cross multiply
    410,748.30x = 566,812.32 × 229,424.10
  4. Step 4: Simplify right side
    410,748.30x = 130,040,406,384.91
  5. Step 5: Solve for x
    x = 130,040,406,384.91/410,748.30
  6. Step 6: Final answer
    x = 316,593.90

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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.