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Finding the Fourth Proportional to 465,988.68, 699,248.50 and 181,642.23

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Solution

The fourth proportional to 465,988.68, 699,248.50 and 181,642.23 is: 272,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,988.68 : 699,248.50 = 181,642.23 : x
  2. Step 2: Convert to fraction form
    465,988.68/699,248.50 = 181,642.23/x
  3. Step 3: Cross multiply
    465,988.68x = 699,248.50 × 181,642.23
  4. Step 4: Simplify right side
    465,988.68x = 127,013,056,410.05
  5. Step 5: Solve for x
    x = 127,013,056,410.05/465,988.68
  6. Step 6: Final answer
    x = 272,566.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.