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Finding the Fourth Proportional to 286,216.52, 429,354.20 and 75,854.48

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Solution

The fourth proportional to 286,216.52, 429,354.20 and 75,854.48 is: 113,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,216.52 : 429,354.20 = 75,854.48 : x
  2. Step 2: Convert to fraction form
    286,216.52/429,354.20 = 75,854.48/x
  3. Step 3: Cross multiply
    286,216.52x = 429,354.20 × 75,854.48
  4. Step 4: Simplify right side
    286,216.52x = 32,568,439,576.82
  5. Step 5: Solve for x
    x = 32,568,439,576.82/286,216.52
  6. Step 6: Final answer
    x = 113,789.52

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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.