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Finding the Fourth Proportional to 433,292.68, 649,753.14 and 149,011.84

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Solution

The fourth proportional to 433,292.68, 649,753.14 and 149,011.84 is: 223,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,292.68 : 649,753.14 = 149,011.84 : x
  2. Step 2: Convert to fraction form
    433,292.68/649,753.14 = 149,011.84/x
  3. Step 3: Cross multiply
    433,292.68x = 649,753.14 × 149,011.84
  4. Step 4: Simplify right side
    433,292.68x = 96,820,910,937.18
  5. Step 5: Solve for x
    x = 96,820,910,937.18/433,292.68
  6. Step 6: Final answer
    x = 223,453.83

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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.