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Finding the Fourth Proportional to 410,270.67, 615,680.90 and 144,031.97

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Solution

The fourth proportional to 410,270.67, 615,680.90 and 144,031.97 is: 216,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,270.67 : 615,680.90 = 144,031.97 : x
  2. Step 2: Convert to fraction form
    410,270.67/615,680.90 = 144,031.97/x
  3. Step 3: Cross multiply
    410,270.67x = 615,680.90 × 144,031.97
  4. Step 4: Simplify right side
    410,270.67x = 88,677,734,277.54
  5. Step 5: Solve for x
    x = 88,677,734,277.54/410,270.67
  6. Step 6: Final answer
    x = 216,144.46

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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.