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Finding the Fourth Proportional to 298,740.10, 412,256.13 and 162,775.18

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Solution

The fourth proportional to 298,740.10, 412,256.13 and 162,775.18 is: 224,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740.10 : 412,256.13 = 162,775.18 : x
  2. Step 2: Convert to fraction form
    298,740.10/412,256.13 = 162,775.18/x
  3. Step 3: Cross multiply
    298,740.10x = 412,256.13 × 162,775.18
  4. Step 4: Simplify right side
    298,740.10x = 67,105,062,891.70
  5. Step 5: Solve for x
    x = 67,105,062,891.70/298,740.10
  6. Step 6: Final answer
    x = 224,626.90

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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.