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Finding the Fourth Proportional to 274,035.34, 410,772.84 and 155,456.20

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Solution

The fourth proportional to 274,035.34, 410,772.84 and 155,456.20 is: 233,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,035.34 : 410,772.84 = 155,456.20 : x
  2. Step 2: Convert to fraction form
    274,035.34/410,772.84 = 155,456.20/x
  3. Step 3: Cross multiply
    274,035.34x = 410,772.84 × 155,456.20
  4. Step 4: Simplify right side
    274,035.34x = 63,857,184,769.61
  5. Step 5: Solve for x
    x = 63,857,184,769.61/274,035.34
  6. Step 6: Final answer
    x = 233,025.36

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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.