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Finding the Fourth Proportional to 588,442.80, 809,502.66 and 515,517.24

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Solution

The fourth proportional to 588,442.80, 809,502.66 and 515,517.24 is: 709,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,442.80 : 809,502.66 = 515,517.24 : x
  2. Step 2: Convert to fraction form
    588,442.80/809,502.66 = 515,517.24/x
  3. Step 3: Cross multiply
    588,442.80x = 809,502.66 × 515,517.24
  4. Step 4: Simplify right side
    588,442.80x = 417,312,577,055.86
  5. Step 5: Solve for x
    x = 417,312,577,055.86/588,442.80
  6. Step 6: Final answer
    x = 709,181.21

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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.