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Finding the Fourth Proportional to 496,817.16, 745,335.70 and 181,273.15

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Solution

The fourth proportional to 496,817.16, 745,335.70 and 181,273.15 is: 271,949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,817.16 : 745,335.70 = 181,273.15 : x
  2. Step 2: Convert to fraction form
    496,817.16/745,335.70 = 181,273.15/x
  3. Step 3: Cross multiply
    496,817.16x = 745,335.70 × 181,273.15
  4. Step 4: Simplify right side
    496,817.16x = 135,109,350,146.46
  5. Step 5: Solve for x
    x = 135,109,350,146.46/496,817.16
  6. Step 6: Final answer
    x = 271,949.85

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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.