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Finding the Fourth Proportional to 298,813.67, 412,350.83 and 162,844.70

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Solution

The fourth proportional to 298,813.67, 412,350.83 and 162,844.70 is: 224,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,813.67 : 412,350.83 = 162,844.70 : x
  2. Step 2: Convert to fraction form
    298,813.67/412,350.83 = 162,844.70/x
  3. Step 3: Cross multiply
    298,813.67x = 412,350.83 × 162,844.70
  4. Step 4: Simplify right side
    298,813.67x = 67,149,144,330.12
  5. Step 5: Solve for x
    x = 67,149,144,330.12/298,813.67
  6. Step 6: Final answer
    x = 224,719.12

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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.