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Finding the Fourth Proportional to 230,972.74, 318,962.48 and 218,393.38

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Solution

The fourth proportional to 230,972.74, 318,962.48 and 218,393.38 is: 301,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,972.74 : 318,962.48 = 218,393.38 : x
  2. Step 2: Convert to fraction form
    230,972.74/318,962.48 = 218,393.38/x
  3. Step 3: Cross multiply
    230,972.74x = 318,962.48 × 218,393.38
  4. Step 4: Simplify right side
    230,972.74x = 69,659,294,100.38
  5. Step 5: Solve for x
    x = 69,659,294,100.38/230,972.74
  6. Step 6: Final answer
    x = 301,590.98

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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.