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Finding the Fourth Proportional to 409,410.46, 614,209.16 and 125,141.46

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Solution

The fourth proportional to 409,410.46, 614,209.16 and 125,141.46 is: 187,740.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,410.46 : 614,209.16 = 125,141.46 : x
  2. Step 2: Convert to fraction form
    409,410.46/614,209.16 = 125,141.46/x
  3. Step 3: Cross multiply
    409,410.46x = 614,209.16 × 125,141.46
  4. Step 4: Simplify right side
    409,410.46x = 76,863,031,027.77
  5. Step 5: Solve for x
    x = 76,863,031,027.77/409,410.46
  6. Step 6: Final answer
    x = 187,740.76

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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.