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Finding the Fourth Proportional to 298,262.16, 447,251.76 and 108,588.24

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Solution

The fourth proportional to 298,262.16, 447,251.76 and 108,588.24 is: 162,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,262.16 : 447,251.76 = 108,588.24 : x
  2. Step 2: Convert to fraction form
    298,262.16/447,251.76 = 108,588.24/x
  3. Step 3: Cross multiply
    298,262.16x = 447,251.76 × 108,588.24
  4. Step 4: Simplify right side
    298,262.16x = 48,566,281,455.30
  5. Step 5: Solve for x
    x = 48,566,281,455.30/298,262.16
  6. Step 6: Final answer
    x = 162,830.85

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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.