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Finding the Fourth Proportional to 410,616.59, 615,926.31 and 126,305.21

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Solution

The fourth proportional to 410,616.59, 615,926.31 and 126,305.21 is: 189,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,616.59 : 615,926.31 = 126,305.21 : x
  2. Step 2: Convert to fraction form
    410,616.59/615,926.31 = 126,305.21/x
  3. Step 3: Cross multiply
    410,616.59x = 615,926.31 × 126,305.21
  4. Step 4: Simplify right side
    410,616.59x = 77,794,701,929.08
  5. Step 5: Solve for x
    x = 77,794,701,929.08/410,616.59
  6. Step 6: Final answer
    x = 189,458.25

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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.