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Finding the Fourth Proportional to 506,377.60, 759,609.76 and 132,400

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Solution

The fourth proportional to 506,377.60, 759,609.76 and 132,400 is: 198,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,377.60 : 759,609.76 = 132,400 : x
  2. Step 2: Convert to fraction form
    506,377.60/759,609.76 = 132,400/x
  3. Step 3: Cross multiply
    506,377.60x = 759,609.76 × 132,400
  4. Step 4: Simplify right side
    506,377.60x = 100,572,332,224
  5. Step 5: Solve for x
    x = 100,572,332,224/506,377.60
  6. Step 6: Final answer
    x = 198,611.34

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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.