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Finding the Fourth Proportional to 361,992.24, 542,706.48 and 172,355.04

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Solution

The fourth proportional to 361,992.24, 542,706.48 and 172,355.04 is: 258,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,992.24 : 542,706.48 = 172,355.04 : x
  2. Step 2: Convert to fraction form
    361,992.24/542,706.48 = 172,355.04/x
  3. Step 3: Cross multiply
    361,992.24x = 542,706.48 × 172,355.04
  4. Step 4: Simplify right side
    361,992.24x = 93,538,197,068.66
  5. Step 5: Solve for x
    x = 93,538,197,068.66/361,992.24
  6. Step 6: Final answer
    x = 258,398.35

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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.