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Finding the Fourth Proportional to 291,324.59, 402,027.26 and 164,000.49

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Solution

The fourth proportional to 291,324.59, 402,027.26 and 164,000.49 is: 226,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,324.59 : 402,027.26 = 164,000.49 : x
  2. Step 2: Convert to fraction form
    291,324.59/402,027.26 = 164,000.49/x
  3. Step 3: Cross multiply
    291,324.59x = 402,027.26 × 164,000.49
  4. Step 4: Simplify right side
    291,324.59x = 65,932,667,633.36
  5. Step 5: Solve for x
    x = 65,932,667,633.36/291,324.59
  6. Step 6: Final answer
    x = 226,320.30

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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.