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Finding the Fourth Proportional to 393,901.70, 590,998.35 and 157,414.10

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Solution

The fourth proportional to 393,901.70, 590,998.35 and 157,414.10 is: 236,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,901.70 : 590,998.35 = 157,414.10 : x
  2. Step 2: Convert to fraction form
    393,901.70/590,998.35 = 157,414.10/x
  3. Step 3: Cross multiply
    393,901.70x = 590,998.35 × 157,414.10
  4. Step 4: Simplify right side
    393,901.70x = 93,031,473,366.74
  5. Step 5: Solve for x
    x = 93,031,473,366.74/393,901.70
  6. Step 6: Final answer
    x = 236,179.42

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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.