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Finding the Fourth Proportional to 649,347.69, 974,231.78 and 312,344.49

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Solution

The fourth proportional to 649,347.69, 974,231.78 and 312,344.49 is: 468,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,347.69 : 974,231.78 = 312,344.49 : x
  2. Step 2: Convert to fraction form
    649,347.69/974,231.78 = 312,344.49/x
  3. Step 3: Cross multiply
    649,347.69x = 974,231.78 × 312,344.49
  4. Step 4: Simplify right side
    649,347.69x = 304,295,924,422.09
  5. Step 5: Solve for x
    x = 304,295,924,422.09/649,347.69
  6. Step 6: Final answer
    x = 468,617.86

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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.