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Finding the Fourth Proportional to 301,222.08, 415,694.16 and 165,261.84

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Solution

The fourth proportional to 301,222.08, 415,694.16 and 165,261.84 is: 228,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,222.08 : 415,694.16 = 165,261.84 : x
  2. Step 2: Convert to fraction form
    301,222.08/415,694.16 = 165,261.84/x
  3. Step 3: Cross multiply
    301,222.08x = 415,694.16 × 165,261.84
  4. Step 4: Simplify right side
    301,222.08x = 68,698,381,758.85
  5. Step 5: Solve for x
    x = 68,698,381,758.85/301,222.08
  6. Step 6: Final answer
    x = 228,065.56

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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.