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Finding the Fourth Proportional to 410,876.84, 567,084.42 and 265,861.16

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Solution

The fourth proportional to 410,876.84, 567,084.42 and 265,861.16 is: 366,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,876.84 : 567,084.42 = 265,861.16 : x
  2. Step 2: Convert to fraction form
    410,876.84/567,084.42 = 265,861.16/x
  3. Step 3: Cross multiply
    410,876.84x = 567,084.42 × 265,861.16
  4. Step 4: Simplify right side
    410,876.84x = 150,765,721,719.13
  5. Step 5: Solve for x
    x = 150,765,721,719.13/410,876.84
  6. Step 6: Final answer
    x = 366,936.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.