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Finding the Fourth Proportional to 291,732.67, 402,588.93 and 164,449.27

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Solution

The fourth proportional to 291,732.67, 402,588.93 and 164,449.27 is: 226,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,732.67 : 402,588.93 = 164,449.27 : x
  2. Step 2: Convert to fraction form
    291,732.67/402,588.93 = 164,449.27/x
  3. Step 3: Cross multiply
    291,732.67x = 402,588.93 × 164,449.27
  4. Step 4: Simplify right side
    291,732.67x = 66,205,455,648.58
  5. Step 5: Solve for x
    x = 66,205,455,648.58/291,732.67
  6. Step 6: Final answer
    x = 226,938.78

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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.