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Finding the Fourth Proportional to 288,523.90, 432,785.85 and 164,107.90

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Solution

The fourth proportional to 288,523.90, 432,785.85 and 164,107.90 is: 246,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,523.90 : 432,785.85 = 164,107.90 : x
  2. Step 2: Convert to fraction form
    288,523.90/432,785.85 = 164,107.90/x
  3. Step 3: Cross multiply
    288,523.90x = 432,785.85 × 164,107.90
  4. Step 4: Simplify right side
    288,523.90x = 71,023,576,993.22
  5. Step 5: Solve for x
    x = 71,023,576,993.22/288,523.90
  6. Step 6: Final answer
    x = 246,161.85

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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.