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Finding the Fourth Proportional to 588,294.32, 811,830.38 and 333,640.04

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Solution

The fourth proportional to 588,294.32, 811,830.38 and 333,640.04 is: 460,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,294.32 : 811,830.38 = 333,640.04 : x
  2. Step 2: Convert to fraction form
    588,294.32/811,830.38 = 333,640.04/x
  3. Step 3: Cross multiply
    588,294.32x = 811,830.38 × 333,640.04
  4. Step 4: Simplify right side
    588,294.32x = 270,859,120,456.42
  5. Step 5: Solve for x
    x = 270,859,120,456.42/588,294.32
  6. Step 6: Final answer
    x = 460,414.30

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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.