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Finding the Fourth Proportional to 412,759.50, 619,097.78 and 113,270.20

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Solution

The fourth proportional to 412,759.50, 619,097.78 and 113,270.20 is: 169,893.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,759.50 : 619,097.78 = 113,270.20 : x
  2. Step 2: Convert to fraction form
    412,759.50/619,097.78 = 113,270.20/x
  3. Step 3: Cross multiply
    412,759.50x = 619,097.78 × 113,270.20
  4. Step 4: Simplify right side
    412,759.50x = 70,125,328,095.59
  5. Step 5: Solve for x
    x = 70,125,328,095.59/412,759.50
  6. Step 6: Final answer
    x = 169,893.92

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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.