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Finding the Fourth Proportional to 412,768.98, 619,154.13 and 113,253.66

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Solution

The fourth proportional to 412,768.98, 619,154.13 and 113,253.66 is: 169,880.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,768.98 : 619,154.13 = 113,253.66 : x
  2. Step 2: Convert to fraction form
    412,768.98/619,154.13 = 113,253.66/x
  3. Step 3: Cross multiply
    412,768.98x = 619,154.13 × 113,253.66
  4. Step 4: Simplify right side
    412,768.98x = 70,121,471,326.62
  5. Step 5: Solve for x
    x = 70,121,471,326.62/412,768.98
  6. Step 6: Final answer
    x = 169,880.67

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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.