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Finding the Fourth Proportional to 301,246.56, 415,706.22 and 165,277.44

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Solution

The fourth proportional to 301,246.56, 415,706.22 and 165,277.44 is: 228,075.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,246.56 : 415,706.22 = 165,277.44 : x
  2. Step 2: Convert to fraction form
    301,246.56/415,706.22 = 165,277.44/x
  3. Step 3: Cross multiply
    301,246.56x = 415,706.22 × 165,277.44
  4. Step 4: Simplify right side
    301,246.56x = 68,706,859,833.68
  5. Step 5: Solve for x
    x = 68,706,859,833.68/301,246.56
  6. Step 6: Final answer
    x = 228,075.17

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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.