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Finding the Fourth Proportional to 502,107.42, 692,603.96 and 298,023.87

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Solution

The fourth proportional to 502,107.42, 692,603.96 and 298,023.87 is: 411,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,107.42 : 692,603.96 = 298,023.87 : x
  2. Step 2: Convert to fraction form
    502,107.42/692,603.96 = 298,023.87/x
  3. Step 3: Cross multiply
    502,107.42x = 692,603.96 × 298,023.87
  4. Step 4: Simplify right side
    502,107.42x = 206,412,511,046.41
  5. Step 5: Solve for x
    x = 206,412,511,046.41/502,107.42
  6. Step 6: Final answer
    x = 411,092.33

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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.