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Finding the Fourth Proportional to 412,306.56, 618,465.60 and 116,818.56

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Solution

The fourth proportional to 412,306.56, 618,465.60 and 116,818.56 is: 175,229.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,306.56 : 618,465.60 = 116,818.56 : x
  2. Step 2: Convert to fraction form
    412,306.56/618,465.60 = 116,818.56/x
  3. Step 3: Cross multiply
    412,306.56x = 618,465.60 × 116,818.56
  4. Step 4: Simplify right side
    412,306.56x = 72,248,260,801.54
  5. Step 5: Solve for x
    x = 72,248,260,801.54/412,306.56
  6. Step 6: Final answer
    x = 175,229.47

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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.