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Finding the Fourth Proportional to 577,856.26, 866,876.61 and 178,403.14

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Solution

The fourth proportional to 577,856.26, 866,876.61 and 178,403.14 is: 267,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,856.26 : 866,876.61 = 178,403.14 : x
  2. Step 2: Convert to fraction form
    577,856.26/866,876.61 = 178,403.14/x
  3. Step 3: Cross multiply
    577,856.26x = 866,876.61 × 178,403.14
  4. Step 4: Simplify right side
    577,856.26x = 154,653,509,216.56
  5. Step 5: Solve for x
    x = 154,653,509,216.56/577,856.26
  6. Step 6: Final answer
    x = 267,633.18

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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.