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Finding the Fourth Proportional to 412,747.80, 619,019.16 and 232,912.18

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Solution

The fourth proportional to 412,747.80, 619,019.16 and 232,912.18 is: 349,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,747.80 : 619,019.16 = 232,912.18 : x
  2. Step 2: Convert to fraction form
    412,747.80/619,019.16 = 232,912.18/x
  3. Step 3: Cross multiply
    412,747.80x = 619,019.16 × 232,912.18
  4. Step 4: Simplify right side
    412,747.80x = 144,177,102,017.37
  5. Step 5: Solve for x
    x = 144,177,102,017.37/412,747.80
  6. Step 6: Final answer
    x = 349,310.41

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1.5x scale

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.