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Finding the Fourth Proportional to 298,773.08, 412,317.24 and 162,818.20

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Solution

The fourth proportional to 298,773.08, 412,317.24 and 162,818.20 is: 224,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,773.08 : 412,317.24 = 162,818.20 : x
  2. Step 2: Convert to fraction form
    298,773.08/412,317.24 = 162,818.20/x
  3. Step 3: Cross multiply
    298,773.08x = 412,317.24 × 162,818.20
  4. Step 4: Simplify right side
    298,773.08x = 67,132,750,845.77
  5. Step 5: Solve for x
    x = 67,132,750,845.77/298,773.08
  6. Step 6: Final answer
    x = 224,694.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.