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Finding the Fourth Proportional to 600,838.47, 829,248.17 and 342,714.15

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Solution

The fourth proportional to 600,838.47, 829,248.17 and 342,714.15 is: 472,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,838.47 : 829,248.17 = 342,714.15 : x
  2. Step 2: Convert to fraction form
    600,838.47/829,248.17 = 342,714.15/x
  3. Step 3: Cross multiply
    600,838.47x = 829,248.17 × 342,714.15
  4. Step 4: Simplify right side
    600,838.47x = 284,195,080,007.04
  5. Step 5: Solve for x
    x = 284,195,080,007.04/600,838.47
  6. Step 6: Final answer
    x = 472,997.48

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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.