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Finding the Fourth Proportional to 299,766.48, 413,761.16 and 172,483.08

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Solution

The fourth proportional to 299,766.48, 413,761.16 and 172,483.08 is: 238,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,766.48 : 413,761.16 = 172,483.08 : x
  2. Step 2: Convert to fraction form
    299,766.48/413,761.16 = 172,483.08/x
  3. Step 3: Cross multiply
    299,766.48x = 413,761.16 × 172,483.08
  4. Step 4: Simplify right side
    299,766.48x = 71,366,799,261.17
  5. Step 5: Solve for x
    x = 71,366,799,261.17/299,766.48
  6. Step 6: Final answer
    x = 238,074.65

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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.