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Finding the Fourth Proportional to 392,076.16, 588,175.74 and 167,437.78

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Solution

The fourth proportional to 392,076.16, 588,175.74 and 167,437.78 is: 251,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,076.16 : 588,175.74 = 167,437.78 : x
  2. Step 2: Convert to fraction form
    392,076.16/588,175.74 = 167,437.78/x
  3. Step 3: Cross multiply
    392,076.16x = 588,175.74 × 167,437.78
  4. Step 4: Simplify right side
    392,076.16x = 98,482,838,685.02
  5. Step 5: Solve for x
    x = 98,482,838,685.02/392,076.16
  6. Step 6: Final answer
    x = 251,182.93

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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.