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Finding the Fourth Proportional to 298,816.34, 412,356.06 and 162,847.52

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Solution

The fourth proportional to 298,816.34, 412,356.06 and 162,847.52 is: 224,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,816.34 : 412,356.06 = 162,847.52 : x
  2. Step 2: Convert to fraction form
    298,816.34/412,356.06 = 162,847.52/x
  3. Step 3: Cross multiply
    298,816.34x = 412,356.06 × 162,847.52
  4. Step 4: Simplify right side
    298,816.34x = 67,151,161,727.97
  5. Step 5: Solve for x
    x = 67,151,161,727.97/298,816.34
  6. Step 6: Final answer
    x = 224,723.86

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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.