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Finding the Fourth Proportional to 298,740.36, 412,256.46 and 162,775.42

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Solution

The fourth proportional to 298,740.36, 412,256.46 and 162,775.42 is: 224,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740.36 : 412,256.46 = 162,775.42 : x
  2. Step 2: Convert to fraction form
    298,740.36/412,256.46 = 162,775.42/x
  3. Step 3: Cross multiply
    298,740.36x = 412,256.46 × 162,775.42
  4. Step 4: Simplify right side
    298,740.36x = 67,105,218,424.21
  5. Step 5: Solve for x
    x = 67,105,218,424.21/298,740.36
  6. Step 6: Final answer
    x = 224,627.23

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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.