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Finding the Fourth Proportional to 412,864.29, 619,290.90 and 113,344.52

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Solution

The fourth proportional to 412,864.29, 619,290.90 and 113,344.52 is: 170,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,864.29 : 619,290.90 = 113,344.52 : x
  2. Step 2: Convert to fraction form
    412,864.29/619,290.90 = 113,344.52/x
  3. Step 3: Cross multiply
    412,864.29x = 619,290.90 × 113,344.52
  4. Step 4: Simplify right side
    412,864.29x = 70,193,226,704.41
  5. Step 5: Solve for x
    x = 70,193,226,704.41/412,864.29
  6. Step 6: Final answer
    x = 170,015.25

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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.