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Finding the Fourth Proportional to 412,765.49, 619,106.76 and 113,276.22

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Solution

The fourth proportional to 412,765.49, 619,106.76 and 113,276.22 is: 169,902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,765.49 : 619,106.76 = 113,276.22 : x
  2. Step 2: Convert to fraction form
    412,765.49/619,106.76 = 113,276.22/x
  3. Step 3: Cross multiply
    412,765.49x = 619,106.76 × 113,276.22
  4. Step 4: Simplify right side
    412,765.49x = 70,130,073,549.25
  5. Step 5: Solve for x
    x = 70,130,073,549.25/412,765.49
  6. Step 6: Final answer
    x = 169,902.95

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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.