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Finding the Fourth Proportional to 409,384.68, 614,170.50 and 125,115.69

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Solution

The fourth proportional to 409,384.68, 614,170.50 and 125,115.69 is: 187,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,384.68 : 614,170.50 = 125,115.69 : x
  2. Step 2: Convert to fraction form
    409,384.68/614,170.50 = 125,115.69/x
  3. Step 3: Cross multiply
    409,384.68x = 614,170.50 × 125,115.69
  4. Step 4: Simplify right side
    409,384.68x = 76,842,364,968.17
  5. Step 5: Solve for x
    x = 76,842,364,968.17/409,384.68
  6. Step 6: Final answer
    x = 187,702.10

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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.