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Finding the Fourth Proportional to 288,677.52, 433,016.82 and 111,268.08

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Solution

The fourth proportional to 288,677.52, 433,016.82 and 111,268.08 is: 166,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.52 : 433,016.82 = 111,268.08 : x
  2. Step 2: Convert to fraction form
    288,677.52/433,016.82 = 111,268.08/x
  3. Step 3: Cross multiply
    288,677.52x = 433,016.82 × 111,268.08
  4. Step 4: Simplify right side
    288,677.52x = 48,180,950,169.11
  5. Step 5: Solve for x
    x = 48,180,950,169.11/288,677.52
  6. Step 6: Final answer
    x = 166,902.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.