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Finding the Fourth Proportional to 502,067.16, 692,819.73 and 298,107.54

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Solution

The fourth proportional to 502,067.16, 692,819.73 and 298,107.54 is: 411,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,067.16 : 692,819.73 = 298,107.54 : x
  2. Step 2: Convert to fraction form
    502,067.16/692,819.73 = 298,107.54/x
  3. Step 3: Cross multiply
    502,067.16x = 692,819.73 × 298,107.54
  4. Step 4: Simplify right side
    502,067.16x = 206,534,785,373.76
  5. Step 5: Solve for x
    x = 206,534,785,373.76/502,067.16
  6. Step 6: Final answer
    x = 411,368.84

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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.