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Finding the Fourth Proportional to 410,309.73, 615,733.71 and 144,063.39

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Solution

The fourth proportional to 410,309.73, 615,733.71 and 144,063.39 is: 216,189.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,309.73 : 615,733.71 = 144,063.39 : x
  2. Step 2: Convert to fraction form
    410,309.73/615,733.71 = 144,063.39/x
  3. Step 3: Cross multiply
    410,309.73x = 615,733.71 × 144,063.39
  4. Step 4: Simplify right side
    410,309.73x = 88,704,685,599.88
  5. Step 5: Solve for x
    x = 88,704,685,599.88/410,309.73
  6. Step 6: Final answer
    x = 216,189.57

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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.