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Finding the Fourth Proportional to 285,753.34, 428,647.80 and 75,391.48

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Solution

The fourth proportional to 285,753.34, 428,647.80 and 75,391.48 is: 113,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,753.34 : 428,647.80 = 75,391.48 : x
  2. Step 2: Convert to fraction form
    285,753.34/428,647.80 = 75,391.48/x
  3. Step 3: Cross multiply
    285,753.34x = 428,647.80 × 75,391.48
  4. Step 4: Simplify right side
    285,753.34x = 32,316,392,040.74
  5. Step 5: Solve for x
    x = 32,316,392,040.74/285,753.34
  6. Step 6: Final answer
    x = 113,091.91

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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.