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Finding the Fourth Proportional to 296,197.20, 443,639.70 and 243,709.20

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Solution

The fourth proportional to 296,197.20, 443,639.70 and 243,709.20 is: 365,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,197.20 : 443,639.70 = 243,709.20 : x
  2. Step 2: Convert to fraction form
    296,197.20/443,639.70 = 243,709.20/x
  3. Step 3: Cross multiply
    296,197.20x = 443,639.70 × 243,709.20
  4. Step 4: Simplify right side
    296,197.20x = 108,119,076,375.24
  5. Step 5: Solve for x
    x = 108,119,076,375.24/296,197.20
  6. Step 6: Final answer
    x = 365,023.97

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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.