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Finding the Fourth Proportional to 493,693.47, 740,387.12 and 178,109.37

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Solution

The fourth proportional to 493,693.47, 740,387.12 and 178,109.37 is: 267,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,693.47 : 740,387.12 = 178,109.37 : x
  2. Step 2: Convert to fraction form
    493,693.47/740,387.12 = 178,109.37/x
  3. Step 3: Cross multiply
    493,693.47x = 740,387.12 × 178,109.37
  4. Step 4: Simplify right side
    493,693.47x = 131,869,882,608.77
  5. Step 5: Solve for x
    x = 131,869,882,608.77/493,693.47
  6. Step 6: Final answer
    x = 267,108.82

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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.