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Finding the Fourth Proportional to 392,151, 588,151.44 and 152,264.88

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Solution

The fourth proportional to 392,151, 588,151.44 and 152,264.88 is: 228,368.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,151 : 588,151.44 = 152,264.88 : x
  2. Step 2: Convert to fraction form
    392,151/588,151.44 = 152,264.88/x
  3. Step 3: Cross multiply
    392,151x = 588,151.44 × 152,264.88
  4. Step 4: Simplify right side
    392,151x = 89,554,808,433.43
  5. Step 5: Solve for x
    x = 89,554,808,433.43/392,151
  6. Step 6: Final answer
    x = 228,368.18

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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.