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Finding the Fourth Proportional to 301,024.88, 415,414.92 and 166,888.88

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Solution

The fourth proportional to 301,024.88, 415,414.92 and 166,888.88 is: 230,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.88 : 415,414.92 = 166,888.88 : x
  2. Step 2: Convert to fraction form
    301,024.88/415,414.92 = 166,888.88/x
  3. Step 3: Cross multiply
    301,024.88x = 415,414.92 × 166,888.88
  4. Step 4: Simplify right side
    301,024.88x = 69,328,130,734.09
  5. Step 5: Solve for x
    x = 69,328,130,734.09/301,024.88
  6. Step 6: Final answer
    x = 230,306.98

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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.