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Finding the Fourth Proportional to 410,447.70, 615,733.11 and 144,161.28

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Solution

The fourth proportional to 410,447.70, 615,733.11 and 144,161.28 is: 216,263.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,447.70 : 615,733.11 = 144,161.28 : x
  2. Step 2: Convert to fraction form
    410,447.70/615,733.11 = 144,161.28/x
  3. Step 3: Cross multiply
    410,447.70x = 615,733.11 × 144,161.28
  4. Step 4: Simplify right side
    410,447.70x = 88,764,873,275.98
  5. Step 5: Solve for x
    x = 88,764,873,275.98/410,447.70
  6. Step 6: Final answer
    x = 216,263.54

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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.