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Finding the Fourth Proportional to 381,532.26, 572,309.32 and 101,049.50

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Solution

The fourth proportional to 381,532.26, 572,309.32 and 101,049.50 is: 151,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,532.26 : 572,309.32 = 101,049.50 : x
  2. Step 2: Convert to fraction form
    381,532.26/572,309.32 = 101,049.50/x
  3. Step 3: Cross multiply
    381,532.26x = 572,309.32 × 101,049.50
  4. Step 4: Simplify right side
    381,532.26x = 57,831,570,631.34
  5. Step 5: Solve for x
    x = 57,831,570,631.34/381,532.26
  6. Step 6: Final answer
    x = 151,577.14

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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.