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Finding the Fourth Proportional to 472,174.52, 651,600.92 and 257,314.61

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Solution

The fourth proportional to 472,174.52, 651,600.92 and 257,314.61 is: 355,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,174.52 : 651,600.92 = 257,314.61 : x
  2. Step 2: Convert to fraction form
    472,174.52/651,600.92 = 257,314.61/x
  3. Step 3: Cross multiply
    472,174.52x = 651,600.92 × 257,314.61
  4. Step 4: Simplify right side
    472,174.52x = 167,666,438,877.73
  5. Step 5: Solve for x
    x = 167,666,438,877.73/472,174.52
  6. Step 6: Final answer
    x = 355,094.22

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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.