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Finding the Fourth Proportional to 409,415.72, 614,234.14 and 125,098.48

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Solution

The fourth proportional to 409,415.72, 614,234.14 and 125,098.48 is: 187,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,415.72 : 614,234.14 = 125,098.48 : x
  2. Step 2: Convert to fraction form
    409,415.72/614,234.14 = 125,098.48/x
  3. Step 3: Cross multiply
    409,415.72x = 614,234.14 × 125,098.48
  4. Step 4: Simplify right side
    409,415.72x = 76,839,757,278.11
  5. Step 5: Solve for x
    x = 76,839,757,278.11/409,415.72
  6. Step 6: Final answer
    x = 187,681.50

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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.