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Finding the Fourth Proportional to 381,753.98, 572,630.34 and 97,444.49

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Solution

The fourth proportional to 381,753.98, 572,630.34 and 97,444.49 is: 146,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,753.98 : 572,630.34 = 97,444.49 : x
  2. Step 2: Convert to fraction form
    381,753.98/572,630.34 = 97,444.49/x
  3. Step 3: Cross multiply
    381,753.98x = 572,630.34 × 97,444.49
  4. Step 4: Simplify right side
    381,753.98x = 55,799,668,942.09
  5. Step 5: Solve for x
    x = 55,799,668,942.09/381,753.98
  6. Step 6: Final answer
    x = 146,166.57

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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.