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Finding the Fourth Proportional to 410,575.68, 566,562.12 and 229,273.44

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Solution

The fourth proportional to 410,575.68, 566,562.12 and 229,273.44 is: 316,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,575.68 : 566,562.12 = 229,273.44 : x
  2. Step 2: Convert to fraction form
    410,575.68/566,562.12 = 229,273.44/x
  3. Step 3: Cross multiply
    410,575.68x = 566,562.12 × 229,273.44
  4. Step 4: Simplify right side
    410,575.68x = 129,897,646,226.09
  5. Step 5: Solve for x
    x = 129,897,646,226.09/410,575.68
  6. Step 6: Final answer
    x = 316,379.30

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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.