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Finding the Fourth Proportional to 320,358.70, 442,097.76 and 177,124.78

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Solution

The fourth proportional to 320,358.70, 442,097.76 and 177,124.78 is: 244,433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,358.70 : 442,097.76 = 177,124.78 : x
  2. Step 2: Convert to fraction form
    320,358.70/442,097.76 = 177,124.78/x
  3. Step 3: Cross multiply
    320,358.70x = 442,097.76 × 177,124.78
  4. Step 4: Simplify right side
    320,358.70x = 78,306,468,478.49
  5. Step 5: Solve for x
    x = 78,306,468,478.49/320,358.70
  6. Step 6: Final answer
    x = 244,433.72

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1.5x scale

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.