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Finding the Fourth Proportional to 381,378.41, 572,071.06 and 97,069.27

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Solution

The fourth proportional to 381,378.41, 572,071.06 and 97,069.27 is: 145,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,378.41 : 572,071.06 = 97,069.27 : x
  2. Step 2: Convert to fraction form
    381,378.41/572,071.06 = 97,069.27/x
  3. Step 3: Cross multiply
    381,378.41x = 572,071.06 × 97,069.27
  4. Step 4: Simplify right side
    381,378.41x = 55,530,519,559.12
  5. Step 5: Solve for x
    x = 55,530,519,559.12/381,378.41
  6. Step 6: Final answer
    x = 145,604.78

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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.