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Finding the Fourth Proportional to 384,246.70, 576,470.85 and 147,597.10

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Solution

The fourth proportional to 384,246.70, 576,470.85 and 147,597.10 is: 221,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,246.70 : 576,470.85 = 147,597.10 : x
  2. Step 2: Convert to fraction form
    384,246.70/576,470.85 = 147,597.10/x
  3. Step 3: Cross multiply
    384,246.70x = 576,470.85 × 147,597.10
  4. Step 4: Simplify right side
    384,246.70x = 85,085,425,694.54
  5. Step 5: Solve for x
    x = 85,085,425,694.54/384,246.70
  6. Step 6: Final answer
    x = 221,434.37

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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.