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Finding the Fourth Proportional to 392,114.40, 588,366.18 and 155,451.84

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Solution

The fourth proportional to 392,114.40, 588,366.18 and 155,451.84 is: 233,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,114.40 : 588,366.18 = 155,451.84 : x
  2. Step 2: Convert to fraction form
    392,114.40/588,366.18 = 155,451.84/x
  3. Step 3: Cross multiply
    392,114.40x = 588,366.18 × 155,451.84
  4. Step 4: Simplify right side
    392,114.40x = 91,462,605,274.77
  5. Step 5: Solve for x
    x = 91,462,605,274.77/392,114.40
  6. Step 6: Final answer
    x = 233,254.90

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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.