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Finding the Fourth Proportional to 296,102.20, 443,497.20 and 243,614.20

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Solution

The fourth proportional to 296,102.20, 443,497.20 and 243,614.20 is: 364,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,102.20 : 443,497.20 = 243,614.20 : x
  2. Step 2: Convert to fraction form
    296,102.20/443,497.20 = 243,614.20/x
  3. Step 3: Cross multiply
    296,102.20x = 443,497.20 × 243,614.20
  4. Step 4: Simplify right side
    296,102.20x = 108,042,215,580.24
  5. Step 5: Solve for x
    x = 108,042,215,580.24/296,102.20
  6. Step 6: Final answer
    x = 364,881.50

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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.