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Finding the Fourth Proportional to 649,869.84, 974,821.50 and 308,233.44

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Solution

The fourth proportional to 649,869.84, 974,821.50 and 308,233.44 is: 462,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,869.84 : 974,821.50 = 308,233.44 : x
  2. Step 2: Convert to fraction form
    649,869.84/974,821.50 = 308,233.44/x
  3. Step 3: Cross multiply
    649,869.84x = 974,821.50 × 308,233.44
  4. Step 4: Simplify right side
    649,869.84x = 300,472,584,330.96
  5. Step 5: Solve for x
    x = 300,472,584,330.96/649,869.84
  6. Step 6: Final answer
    x = 462,358.10

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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.