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Finding the Fourth Proportional to 410,344, 615,595.80 and 157,606

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Solution

The fourth proportional to 410,344, 615,595.80 and 157,606 is: 236,439.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344 : 615,595.80 = 157,606 : x
  2. Step 2: Convert to fraction form
    410,344/615,595.80 = 157,606/x
  3. Step 3: Cross multiply
    410,344x = 615,595.80 × 157,606
  4. Step 4: Simplify right side
    410,344x = 97,021,591,654.80
  5. Step 5: Solve for x
    x = 97,021,591,654.80/410,344
  6. Step 6: Final answer
    x = 236,439.65

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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.