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Finding the Fourth Proportional to 507,091.82, 699,785.52 and 292,230.02

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Solution

The fourth proportional to 507,091.82, 699,785.52 and 292,230.02 is: 403,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,091.82 : 699,785.52 = 292,230.02 : x
  2. Step 2: Convert to fraction form
    507,091.82/699,785.52 = 292,230.02/x
  3. Step 3: Cross multiply
    507,091.82x = 699,785.52 × 292,230.02
  4. Step 4: Simplify right side
    507,091.82x = 204,498,336,505.31
  5. Step 5: Solve for x
    x = 204,498,336,505.31/507,091.82
  6. Step 6: Final answer
    x = 403,276.74

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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.