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Finding the Fourth Proportional to 410,616.84, 615,926.69 and 126,305.46

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Solution

The fourth proportional to 410,616.84, 615,926.69 and 126,305.46 is: 189,458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,616.84 : 615,926.69 = 126,305.46 : x
  2. Step 2: Convert to fraction form
    410,616.84/615,926.69 = 126,305.46/x
  3. Step 3: Cross multiply
    410,616.84x = 615,926.69 × 126,305.46
  4. Step 4: Simplify right side
    410,616.84x = 77,794,903,275.20
  5. Step 5: Solve for x
    x = 77,794,903,275.20/410,616.84
  6. Step 6: Final answer
    x = 189,458.63

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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.