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Finding the Fourth Proportional to 301,652.57, 416,309.46 and 172,565.42

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Solution

The fourth proportional to 301,652.57, 416,309.46 and 172,565.42 is: 238,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,652.57 : 416,309.46 = 172,565.42 : x
  2. Step 2: Convert to fraction form
    301,652.57/416,309.46 = 172,565.42/x
  3. Step 3: Cross multiply
    301,652.57x = 416,309.46 × 172,565.42
  4. Step 4: Simplify right side
    301,652.57x = 71,840,614,733.33
  5. Step 5: Solve for x
    x = 71,840,614,733.33/301,652.57
  6. Step 6: Final answer
    x = 238,156.81

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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.