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Finding the Fourth Proportional to 460,691.52, 689,476.80 and 283,311.04

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Solution

The fourth proportional to 460,691.52, 689,476.80 and 283,311.04 is: 424,006.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,691.52 : 689,476.80 = 283,311.04 : x
  2. Step 2: Convert to fraction form
    460,691.52/689,476.80 = 283,311.04/x
  3. Step 3: Cross multiply
    460,691.52x = 689,476.80 × 283,311.04
  4. Step 4: Simplify right side
    460,691.52x = 195,336,389,263.87
  5. Step 5: Solve for x
    x = 195,336,389,263.87/460,691.52
  6. Step 6: Final answer
    x = 424,006.91

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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.