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Finding the Fourth Proportional to 284,768.88, 392,966.62 and 157,419.87

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Solution

The fourth proportional to 284,768.88, 392,966.62 and 157,419.87 is: 217,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,768.88 : 392,966.62 = 157,419.87 : x
  2. Step 2: Convert to fraction form
    284,768.88/392,966.62 = 157,419.87/x
  3. Step 3: Cross multiply
    284,768.88x = 392,966.62 × 157,419.87
  4. Step 4: Simplify right side
    284,768.88x = 61,860,752,367.56
  5. Step 5: Solve for x
    x = 61,860,752,367.56/284,768.88
  6. Step 6: Final answer
    x = 217,231.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.