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Finding the Fourth Proportional to 299,901.42, 413,876.52 and 172,577.52

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Solution

The fourth proportional to 299,901.42, 413,876.52 and 172,577.52 is: 238,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,901.42 : 413,876.52 = 172,577.52 : x
  2. Step 2: Convert to fraction form
    299,901.42/413,876.52 = 172,577.52/x
  3. Step 3: Cross multiply
    299,901.42x = 413,876.52 × 172,577.52
  4. Step 4: Simplify right side
    299,901.42x = 71,425,783,407.83
  5. Step 5: Solve for x
    x = 71,425,783,407.83/299,901.42
  6. Step 6: Final answer
    x = 238,164.21

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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.