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Finding the Fourth Proportional to 275,715.52, 413,575.44 and 150,988.48

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Solution

The fourth proportional to 275,715.52, 413,575.44 and 150,988.48 is: 226,483.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715.52 : 413,575.44 = 150,988.48 : x
  2. Step 2: Convert to fraction form
    275,715.52/413,575.44 = 150,988.48/x
  3. Step 3: Cross multiply
    275,715.52x = 413,575.44 × 150,988.48
  4. Step 4: Simplify right side
    275,715.52x = 62,445,127,050.93
  5. Step 5: Solve for x
    x = 62,445,127,050.93/275,715.52
  6. Step 6: Final answer
    x = 226,483.90

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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.