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Finding the Fourth Proportional to 275,902.70, 413,307.30 and 243,024.80

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Solution

The fourth proportional to 275,902.70, 413,307.30 and 243,024.80 is: 364,055.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,902.70 : 413,307.30 = 243,024.80 : x
  2. Step 2: Convert to fraction form
    275,902.70/413,307.30 = 243,024.80/x
  3. Step 3: Cross multiply
    275,902.70x = 413,307.30 × 243,024.80
  4. Step 4: Simplify right side
    275,902.70x = 100,443,923,921.04
  5. Step 5: Solve for x
    x = 100,443,923,921.04/275,902.70
  6. Step 6: Final answer
    x = 364,055.60

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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.