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Finding the Fourth Proportional to 364,589.67, 503,233.14 and 211,675.74

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Solution

The fourth proportional to 364,589.67, 503,233.14 and 211,675.74 is: 292,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,589.67 : 503,233.14 = 211,675.74 : x
  2. Step 2: Convert to fraction form
    364,589.67/503,233.14 = 211,675.74/x
  3. Step 3: Cross multiply
    364,589.67x = 503,233.14 × 211,675.74
  4. Step 4: Simplify right side
    364,589.67x = 106,522,247,302.02
  5. Step 5: Solve for x
    x = 106,522,247,302.02/364,589.67
  6. Step 6: Final answer
    x = 292,170.23

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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.