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Finding the Fourth Proportional to 371,595.39, 512,798.81 and 201,830.73

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Solution

The fourth proportional to 371,595.39, 512,798.81 and 201,830.73 is: 278,524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,595.39 : 512,798.81 = 201,830.73 : x
  2. Step 2: Convert to fraction form
    371,595.39/512,798.81 = 201,830.73/x
  3. Step 3: Cross multiply
    371,595.39x = 512,798.81 × 201,830.73
  4. Step 4: Simplify right side
    371,595.39x = 103,498,555,601.44
  5. Step 5: Solve for x
    x = 103,498,555,601.44/371,595.39
  6. Step 6: Final answer
    x = 278,524.87

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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.