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Finding the Fourth Proportional to 409,964.60, 615,062.10 and 199,609.40

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Solution

The fourth proportional to 409,964.60, 615,062.10 and 199,609.40 is: 299,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,964.60 : 615,062.10 = 199,609.40 : x
  2. Step 2: Convert to fraction form
    409,964.60/615,062.10 = 199,609.40/x
  3. Step 3: Cross multiply
    409,964.60x = 615,062.10 × 199,609.40
  4. Step 4: Simplify right side
    409,964.60x = 122,772,176,743.74
  5. Step 5: Solve for x
    x = 122,772,176,743.74/409,964.60
  6. Step 6: Final answer
    x = 299,470.19

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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.