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Finding the Fourth Proportional to 584,230.72, 806,372.92 and 342,591.15

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Solution

The fourth proportional to 584,230.72, 806,372.92 and 342,591.15 is: 472,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,230.72 : 806,372.92 = 342,591.15 : x
  2. Step 2: Convert to fraction form
    584,230.72/806,372.92 = 342,591.15/x
  3. Step 3: Cross multiply
    584,230.72x = 806,372.92 × 342,591.15
  4. Step 4: Simplify right side
    584,230.72x = 276,256,221,959.79
  5. Step 5: Solve for x
    x = 276,256,221,959.79/584,230.72
  6. Step 6: Final answer
    x = 472,854.66

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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.