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Finding the Fourth Proportional to 409,892.40, 614,838.60 and 129,373.20

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Solution

The fourth proportional to 409,892.40, 614,838.60 and 129,373.20 is: 194,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,892.40 : 614,838.60 = 129,373.20 : x
  2. Step 2: Convert to fraction form
    409,892.40/614,838.60 = 129,373.20/x
  3. Step 3: Cross multiply
    409,892.40x = 614,838.60 × 129,373.20
  4. Step 4: Simplify right side
    409,892.40x = 79,543,637,165.52
  5. Step 5: Solve for x
    x = 79,543,637,165.52/409,892.40
  6. Step 6: Final answer
    x = 194,059.80

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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.