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Finding the Fourth Proportional to 393,284.70, 590,072.85 and 156,797.10

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Solution

The fourth proportional to 393,284.70, 590,072.85 and 156,797.10 is: 235,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,284.70 : 590,072.85 = 156,797.10 : x
  2. Step 2: Convert to fraction form
    393,284.70/590,072.85 = 156,797.10/x
  3. Step 3: Cross multiply
    393,284.70x = 590,072.85 × 156,797.10
  4. Step 4: Simplify right side
    393,284.70x = 92,521,711,668.74
  5. Step 5: Solve for x
    x = 92,521,711,668.74/393,284.70
  6. Step 6: Final answer
    x = 235,253.78

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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.