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Finding the Fourth Proportional to 296,209.20, 443,657.70 and 243,721.20

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Solution

The fourth proportional to 296,209.20, 443,657.70 and 243,721.20 is: 365,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,209.20 : 443,657.70 = 243,721.20 : x
  2. Step 2: Convert to fraction form
    296,209.20/443,657.70 = 243,721.20/x
  3. Step 3: Cross multiply
    296,209.20x = 443,657.70 × 243,721.20
  4. Step 4: Simplify right side
    296,209.20x = 108,128,787,033.24
  5. Step 5: Solve for x
    x = 108,128,787,033.24/296,209.20
  6. Step 6: Final answer
    x = 365,041.96

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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.