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Finding the Fourth Proportional to 275,592.72, 413,432.40 and 117,822

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Solution

The fourth proportional to 275,592.72, 413,432.40 and 117,822 is: 176,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,592.72 : 413,432.40 = 117,822 : x
  2. Step 2: Convert to fraction form
    275,592.72/413,432.40 = 117,822/x
  3. Step 3: Cross multiply
    275,592.72x = 413,432.40 × 117,822
  4. Step 4: Simplify right side
    275,592.72x = 48,711,432,232.80
  5. Step 5: Solve for x
    x = 48,711,432,232.80/275,592.72
  6. Step 6: Final answer
    x = 176,751.52

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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.