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Finding the Fourth Proportional to 412,955.12, 619,425.38 and 113,434.53

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Solution

The fourth proportional to 412,955.12, 619,425.38 and 113,434.53 is: 170,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,955.12 : 619,425.38 = 113,434.53 : x
  2. Step 2: Convert to fraction form
    412,955.12/619,425.38 = 113,434.53/x
  3. Step 3: Cross multiply
    412,955.12x = 619,425.38 × 113,434.53
  4. Step 4: Simplify right side
    412,955.12x = 70,264,226,283.20
  5. Step 5: Solve for x
    x = 70,264,226,283.20/412,955.12
  6. Step 6: Final answer
    x = 170,149.79

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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.