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Finding the Fourth Proportional to 497,078.56, 745,728.54 and 181,534.96

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Solution

The fourth proportional to 497,078.56, 745,728.54 and 181,534.96 is: 272,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,078.56 : 745,728.54 = 181,534.96 : x
  2. Step 2: Convert to fraction form
    497,078.56/745,728.54 = 181,534.96/x
  3. Step 3: Cross multiply
    497,078.56x = 745,728.54 × 181,534.96
  4. Step 4: Simplify right side
    497,078.56x = 135,375,800,679.76
  5. Step 5: Solve for x
    x = 135,375,800,679.76/497,078.56
  6. Step 6: Final answer
    x = 272,342.87

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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.