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Finding the Fourth Proportional to 381,265.50, 571,526.34 and 181,532.22

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Solution

The fourth proportional to 381,265.50, 571,526.34 and 181,532.22 is: 272,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,265.50 : 571,526.34 = 181,532.22 : x
  2. Step 2: Convert to fraction form
    381,265.50/571,526.34 = 181,532.22/x
  3. Step 3: Cross multiply
    381,265.50x = 571,526.34 × 181,532.22
  4. Step 4: Simplify right side
    381,265.50x = 103,750,445,288.68
  5. Step 5: Solve for x
    x = 103,750,445,288.68/381,265.50
  6. Step 6: Final answer
    x = 272,121.25

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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.