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Finding the Fourth Proportional to 361,923.86, 542,532.80 and 172,333.29

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Solution

The fourth proportional to 361,923.86, 542,532.80 and 172,333.29 is: 258,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,923.86 : 542,532.80 = 172,333.29 : x
  2. Step 2: Convert to fraction form
    361,923.86/542,532.80 = 172,333.29/x
  3. Step 3: Cross multiply
    361,923.86x = 542,532.80 × 172,333.29
  4. Step 4: Simplify right side
    361,923.86x = 93,496,462,356.91
  5. Step 5: Solve for x
    x = 93,496,462,356.91/361,923.86
  6. Step 6: Final answer
    x = 258,331.86

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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.