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Finding the Fourth Proportional to 409,568.77, 614,353.35 and 129,107.89

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Solution

The fourth proportional to 409,568.77, 614,353.35 and 129,107.89 is: 193,661.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,568.77 : 614,353.35 = 129,107.89 : x
  2. Step 2: Convert to fraction form
    409,568.77/614,353.35 = 129,107.89/x
  3. Step 3: Cross multiply
    409,568.77x = 614,353.35 × 129,107.89
  4. Step 4: Simplify right side
    409,568.77x = 79,317,864,732.93
  5. Step 5: Solve for x
    x = 79,317,864,732.93/409,568.77
  6. Step 6: Final answer
    x = 193,661.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.