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Finding the Fourth Proportional to 502,202.33, 692,931.38 and 298,321.99

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Solution

The fourth proportional to 502,202.33, 692,931.38 and 298,321.99 is: 411,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,202.33 : 692,931.38 = 298,321.99 : x
  2. Step 2: Convert to fraction form
    502,202.33/692,931.38 = 298,321.99/x
  3. Step 3: Cross multiply
    502,202.33x = 692,931.38 × 298,321.99
  4. Step 4: Simplify right side
    502,202.33x = 206,716,667,508.20
  5. Step 5: Solve for x
    x = 206,716,667,508.20/502,202.33
  6. Step 6: Final answer
    x = 411,620.29

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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.