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Finding the Fourth Proportional to 298,813.73, 412,350.91 and 162,844.76

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Solution

The fourth proportional to 298,813.73, 412,350.91 and 162,844.76 is: 224,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.73 : 412,350.91 = 162,844.76 : x
  2. Step 2: Convert to fraction form
    298,813.73/412,350.91 = 162,844.76/x
  3. Step 3: Cross multiply
    298,813.73x = 412,350.91 × 162,844.76
  4. Step 4: Simplify right side
    298,813.73x = 67,149,184,974.73
  5. Step 5: Solve for x
    x = 67,149,184,974.73/298,813.73
  6. Step 6: Final answer
    x = 224,719.21

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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.