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Finding the Fourth Proportional to 649,301.67, 974,132.19 and 270,400.68

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Solution

The fourth proportional to 649,301.67, 974,132.19 and 270,400.68 is: 405,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,301.67 : 974,132.19 = 270,400.68 : x
  2. Step 2: Convert to fraction form
    649,301.67/974,132.19 = 270,400.68/x
  3. Step 3: Cross multiply
    649,301.67x = 974,132.19 × 270,400.68
  4. Step 4: Simplify right side
    649,301.67x = 263,406,006,585.89
  5. Step 5: Solve for x
    x = 263,406,006,585.89/649,301.67
  6. Step 6: Final answer
    x = 405,675.85

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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.