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Finding the Fourth Proportional to 497,411.06, 746,205.24 and 231,471.86

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Solution

The fourth proportional to 497,411.06, 746,205.24 and 231,471.86 is: 347,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,411.06 : 746,205.24 = 231,471.86 : x
  2. Step 2: Convert to fraction form
    497,411.06/746,205.24 = 231,471.86/x
  3. Step 3: Cross multiply
    497,411.06x = 746,205.24 × 231,471.86
  4. Step 4: Simplify right side
    497,411.06x = 172,725,514,844.55
  5. Step 5: Solve for x
    x = 172,725,514,844.55/497,411.06
  6. Step 6: Final answer
    x = 347,249.04

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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.