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Finding the Fourth Proportional to 412,884.20, 619,325.16 and 113,365.10

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Solution

The fourth proportional to 412,884.20, 619,325.16 and 113,365.10 is: 170,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,884.20 : 619,325.16 = 113,365.10 : x
  2. Step 2: Convert to fraction form
    412,884.20/619,325.16 = 113,365.10/x
  3. Step 3: Cross multiply
    412,884.20x = 619,325.16 × 113,365.10
  4. Step 4: Simplify right side
    412,884.20x = 70,209,859,819.11
  5. Step 5: Solve for x
    x = 70,209,859,819.11/412,884.20
  6. Step 6: Final answer
    x = 170,047.34

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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.