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Finding the Fourth Proportional to 297,462.53, 411,306.32 and 292,655.59

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Solution

The fourth proportional to 297,462.53, 411,306.32 and 292,655.59 is: 404,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,462.53 : 411,306.32 = 292,655.59 : x
  2. Step 2: Convert to fraction form
    297,462.53/411,306.32 = 292,655.59/x
  3. Step 3: Cross multiply
    297,462.53x = 411,306.32 × 292,655.59
  4. Step 4: Simplify right side
    297,462.53x = 120,371,093,750.33
  5. Step 5: Solve for x
    x = 120,371,093,750.33/297,462.53
  6. Step 6: Final answer
    x = 404,659.69

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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.