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Finding the Fourth Proportional to 584,327.92, 806,356.17 and 329,702.80

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Solution

The fourth proportional to 584,327.92, 806,356.17 and 329,702.80 is: 454,980.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,327.92 : 806,356.17 = 329,702.80 : x
  2. Step 2: Convert to fraction form
    584,327.92/806,356.17 = 329,702.80/x
  3. Step 3: Cross multiply
    584,327.92x = 806,356.17 × 329,702.80
  4. Step 4: Simplify right side
    584,327.92x = 265,857,887,046.28
  5. Step 5: Solve for x
    x = 265,857,887,046.28/584,327.92
  6. Step 6: Final answer
    x = 454,980.63

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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.