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Finding the Fourth Proportional to 412,706.53, 619,060.70 and 113,191.39

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Solution

The fourth proportional to 412,706.53, 619,060.70 and 113,191.39 is: 169,787.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,706.53 : 619,060.70 = 113,191.39 : x
  2. Step 2: Convert to fraction form
    412,706.53/619,060.70 = 113,191.39/x
  3. Step 3: Cross multiply
    412,706.53x = 619,060.70 × 113,191.39
  4. Step 4: Simplify right side
    412,706.53x = 70,072,341,127.37
  5. Step 5: Solve for x
    x = 70,072,341,127.37/412,706.53
  6. Step 6: Final answer
    x = 169,787.33

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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.