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Finding the Fourth Proportional to 438,076.52, 657,015.68 and 201,191.48

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Solution

The fourth proportional to 438,076.52, 657,015.68 and 201,191.48 is: 301,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,076.52 : 657,015.68 = 201,191.48 : x
  2. Step 2: Convert to fraction form
    438,076.52/657,015.68 = 201,191.48/x
  3. Step 3: Cross multiply
    438,076.52x = 657,015.68 × 201,191.48
  4. Step 4: Simplify right side
    438,076.52x = 132,185,957,042.41
  5. Step 5: Solve for x
    x = 132,185,957,042.41/438,076.52
  6. Step 6: Final answer
    x = 301,741.71

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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.