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Finding the Fourth Proportional to 397,142.63, 548,060.49 and 215,854.97

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Solution

The fourth proportional to 397,142.63, 548,060.49 and 215,854.97 is: 297,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,142.63 : 548,060.49 = 215,854.97 : x
  2. Step 2: Convert to fraction form
    397,142.63/548,060.49 = 215,854.97/x
  3. Step 3: Cross multiply
    397,142.63x = 548,060.49 × 215,854.97
  4. Step 4: Simplify right side
    397,142.63x = 118,301,580,627.14
  5. Step 5: Solve for x
    x = 118,301,580,627.14/397,142.63
  6. Step 6: Final answer
    x = 297,881.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.