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Finding the Fourth Proportional to 565,052.30, 847,573.28 and 227,854.16

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Solution

The fourth proportional to 565,052.30, 847,573.28 and 227,854.16 is: 341,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,052.30 : 847,573.28 = 227,854.16 : x
  2. Step 2: Convert to fraction form
    565,052.30/847,573.28 = 227,854.16/x
  3. Step 3: Cross multiply
    565,052.30x = 847,573.28 × 227,854.16
  4. Step 4: Simplify right side
    565,052.30x = 193,123,092,375.71
  5. Step 5: Solve for x
    x = 193,123,092,375.71/565,052.30
  6. Step 6: Final answer
    x = 341,779.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.