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Finding the Fourth Proportional to 412,881.40, 619,340.10 and 113,354.20

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Solution

The fourth proportional to 412,881.40, 619,340.10 and 113,354.20 is: 170,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.40 : 619,340.10 = 113,354.20 : x
  2. Step 2: Convert to fraction form
    412,881.40/619,340.10 = 113,354.20/x
  3. Step 3: Cross multiply
    412,881.40x = 619,340.10 × 113,354.20
  4. Step 4: Simplify right side
    412,881.40x = 70,204,801,563.42
  5. Step 5: Solve for x
    x = 70,204,801,563.42/412,881.40
  6. Step 6: Final answer
    x = 170,036.24

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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.