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Finding the Fourth Proportional to 410,593.32, 615,928.86 and 161,217

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Solution

The fourth proportional to 410,593.32, 615,928.86 and 161,217 is: 241,840.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,593.32 : 615,928.86 = 161,217 : x
  2. Step 2: Convert to fraction form
    410,593.32/615,928.86 = 161,217/x
  3. Step 3: Cross multiply
    410,593.32x = 615,928.86 × 161,217
  4. Step 4: Simplify right side
    410,593.32x = 99,298,203,022.62
  5. Step 5: Solve for x
    x = 99,298,203,022.62/410,593.32
  6. Step 6: Final answer
    x = 241,840.77

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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.