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Finding the Fourth Proportional to 472,229.91, 651,658.29 and 257,365.38

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Solution

The fourth proportional to 472,229.91, 651,658.29 and 257,365.38 is: 355,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,229.91 : 651,658.29 = 257,365.38 : x
  2. Step 2: Convert to fraction form
    472,229.91/651,658.29 = 257,365.38/x
  3. Step 3: Cross multiply
    472,229.91x = 651,658.29 × 257,365.38
  4. Step 4: Simplify right side
    472,229.91x = 167,714,283,436.00
  5. Step 5: Solve for x
    x = 167,714,283,436.00/472,229.91
  6. Step 6: Final answer
    x = 355,153.88

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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.