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Finding the Fourth Proportional to 301,925.12, 416,647.67 and 172,859.31

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Solution

The fourth proportional to 301,925.12, 416,647.67 and 172,859.31 is: 238,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,925.12 : 416,647.67 = 172,859.31 : x
  2. Step 2: Convert to fraction form
    301,925.12/416,647.67 = 172,859.31/x
  3. Step 3: Cross multiply
    301,925.12x = 416,647.67 × 172,859.31
  4. Step 4: Simplify right side
    301,925.12x = 72,021,427,885.01
  5. Step 5: Solve for x
    x = 72,021,427,885.01/301,925.12
  6. Step 6: Final answer
    x = 238,540.70

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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.