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Finding the Fourth Proportional to 410,672.50, 616,254.51 and 177,200.50

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Solution

The fourth proportional to 410,672.50, 616,254.51 and 177,200.50 is: 265,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,672.50 : 616,254.51 = 177,200.50 : x
  2. Step 2: Convert to fraction form
    410,672.50/616,254.51 = 177,200.50/x
  3. Step 3: Cross multiply
    410,672.50x = 616,254.51 × 177,200.50
  4. Step 4: Simplify right side
    410,672.50x = 109,200,607,299.26
  5. Step 5: Solve for x
    x = 109,200,607,299.26/410,672.50
  6. Step 6: Final answer
    x = 265,906.79

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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.