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Finding the Fourth Proportional to 409,204.68, 613,898.60 and 124,920.50

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Solution

The fourth proportional to 409,204.68, 613,898.60 and 124,920.50 is: 187,408.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,204.68 : 613,898.60 = 124,920.50 : x
  2. Step 2: Convert to fraction form
    409,204.68/613,898.60 = 124,920.50/x
  3. Step 3: Cross multiply
    409,204.68x = 613,898.60 × 124,920.50
  4. Step 4: Simplify right side
    409,204.68x = 76,688,520,061.30
  5. Step 5: Solve for x
    x = 76,688,520,061.30/409,204.68
  6. Step 6: Final answer
    x = 187,408.71

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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.