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Finding the Fourth Proportional to 275,856.30, 413,784.45 and 231,569.55

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Solution

The fourth proportional to 275,856.30, 413,784.45 and 231,569.55 is: 347,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,856.30 : 413,784.45 = 231,569.55 : x
  2. Step 2: Convert to fraction form
    275,856.30/413,784.45 = 231,569.55/x
  3. Step 3: Cross multiply
    275,856.30x = 413,784.45 × 231,569.55
  4. Step 4: Simplify right side
    275,856.30x = 95,819,878,883.50
  5. Step 5: Solve for x
    x = 95,819,878,883.50/275,856.30
  6. Step 6: Final answer
    x = 347,354.33

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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.