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Finding the Fourth Proportional to 298,812.20, 412,348.80 and 162,843.24

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Solution

The fourth proportional to 298,812.20, 412,348.80 and 162,843.24 is: 224,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,812.20 : 412,348.80 = 162,843.24 : x
  2. Step 2: Convert to fraction form
    298,812.20/412,348.80 = 162,843.24/x
  3. Step 3: Cross multiply
    298,812.20x = 412,348.80 × 162,843.24
  4. Step 4: Simplify right side
    298,812.20x = 67,148,214,602.11
  5. Step 5: Solve for x
    x = 67,148,214,602.11/298,812.20
  6. Step 6: Final answer
    x = 224,717.11

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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.