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Finding the Fourth Proportional to 295,498.26, 442,610.73 and 200,205.63

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Solution

The fourth proportional to 295,498.26, 442,610.73 and 200,205.63 is: 299,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,498.26 : 442,610.73 = 200,205.63 : x
  2. Step 2: Convert to fraction form
    295,498.26/442,610.73 = 200,205.63/x
  3. Step 3: Cross multiply
    295,498.26x = 442,610.73 × 200,205.63
  4. Step 4: Simplify right side
    295,498.26x = 88,613,160,044.41
  5. Step 5: Solve for x
    x = 88,613,160,044.41/295,498.26
  6. Step 6: Final answer
    x = 299,877.10

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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.