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Finding the Fourth Proportional to 497,218.60, 745,935.90 and 181,675

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Solution

The fourth proportional to 497,218.60, 745,935.90 and 181,675 is: 272,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,218.60 : 745,935.90 = 181,675 : x
  2. Step 2: Convert to fraction form
    497,218.60/745,935.90 = 181,675/x
  3. Step 3: Cross multiply
    497,218.60x = 745,935.90 × 181,675
  4. Step 4: Simplify right side
    497,218.60x = 135,517,904,632.50
  5. Step 5: Solve for x
    x = 135,517,904,632.50/497,218.60
  6. Step 6: Final answer
    x = 272,551.96

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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.