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Finding the Fourth Proportional to 264,305.38, 364,744.05 and 143,447.74

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Solution

The fourth proportional to 264,305.38, 364,744.05 and 143,447.74 is: 197,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,305.38 : 364,744.05 = 143,447.74 : x
  2. Step 2: Convert to fraction form
    264,305.38/364,744.05 = 143,447.74/x
  3. Step 3: Cross multiply
    264,305.38x = 364,744.05 × 143,447.74
  4. Step 4: Simplify right side
    264,305.38x = 52,321,709,650.95
  5. Step 5: Solve for x
    x = 52,321,709,650.95/264,305.38
  6. Step 6: Final answer
    x = 197,959.31

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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.