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Finding the Fourth Proportional to 298,166.24, 447,251.78 and 108,762.32

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Solution

The fourth proportional to 298,166.24, 447,251.78 and 108,762.32 is: 163,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,166.24 : 447,251.78 = 108,762.32 : x
  2. Step 2: Convert to fraction form
    298,166.24/447,251.78 = 108,762.32/x
  3. Step 3: Cross multiply
    298,166.24x = 447,251.78 × 108,762.32
  4. Step 4: Simplify right side
    298,166.24x = 48,644,141,216.93
  5. Step 5: Solve for x
    x = 48,644,141,216.93/298,166.24
  6. Step 6: Final answer
    x = 163,144.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.