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Finding the Fourth Proportional to 412,518.32, 618,777.96 and 113,001.47

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Solution

The fourth proportional to 412,518.32, 618,777.96 and 113,001.47 is: 169,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,518.32 : 618,777.96 = 113,001.47 : x
  2. Step 2: Convert to fraction form
    412,518.32/618,777.96 = 113,001.47/x
  3. Step 3: Cross multiply
    412,518.32x = 618,777.96 × 113,001.47
  4. Step 4: Simplify right side
    412,518.32x = 69,922,815,424.70
  5. Step 5: Solve for x
    x = 69,922,815,424.70/412,518.32
  6. Step 6: Final answer
    x = 169,502.33

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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.