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Finding the Fourth Proportional to 288,149.86, 397,652.25 and 167,301.10

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Solution

The fourth proportional to 288,149.86, 397,652.25 and 167,301.10 is: 230,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,149.86 : 397,652.25 = 167,301.10 : x
  2. Step 2: Convert to fraction form
    288,149.86/397,652.25 = 167,301.10/x
  3. Step 3: Cross multiply
    288,149.86x = 397,652.25 × 167,301.10
  4. Step 4: Simplify right side
    288,149.86x = 66,527,658,842.48
  5. Step 5: Solve for x
    x = 66,527,658,842.48/288,149.86
  6. Step 6: Final answer
    x = 230,878.68

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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.