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Finding the Fourth Proportional to 288,018.63, 431,990.01 and 85,610.41

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Solution

The fourth proportional to 288,018.63, 431,990.01 and 85,610.41 is: 128,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,018.63 : 431,990.01 = 85,610.41 : x
  2. Step 2: Convert to fraction form
    288,018.63/431,990.01 = 85,610.41/x
  3. Step 3: Cross multiply
    288,018.63x = 431,990.01 × 85,610.41
  4. Step 4: Simplify right side
    288,018.63x = 36,982,843,221.97
  5. Step 5: Solve for x
    x = 36,982,843,221.97/288,018.63
  6. Step 6: Final answer
    x = 128,404.34

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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.