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Finding the Fourth Proportional to 728,520.38, 1,005,358.13 and 426,714.38

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Solution

The fourth proportional to 728,520.38, 1,005,358.13 and 426,714.38 is: 588,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,520.38 : 1,005,358.13 = 426,714.38 : x
  2. Step 2: Convert to fraction form
    728,520.38/1,005,358.13 = 426,714.38/x
  3. Step 3: Cross multiply
    728,520.38x = 1,005,358.13 × 426,714.38
  4. Step 4: Simplify right side
    728,520.38x = 429,000,763,960.55
  5. Step 5: Solve for x
    x = 429,000,763,960.55/728,520.38
  6. Step 6: Final answer
    x = 588,865.84

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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.