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Finding the Fourth Proportional to 409,966.40, 615,103.20 and 160,827.20

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Solution

The fourth proportional to 409,966.40, 615,103.20 and 160,827.20 is: 241,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,966.40 : 615,103.20 = 160,827.20 : x
  2. Step 2: Convert to fraction form
    409,966.40/615,103.20 = 160,827.20/x
  3. Step 3: Cross multiply
    409,966.40x = 615,103.20 × 160,827.20
  4. Step 4: Simplify right side
    409,966.40x = 98,925,325,367.04
  5. Step 5: Solve for x
    x = 98,925,325,367.04/409,966.40
  6. Step 6: Final answer
    x = 241,301.06

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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.