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Finding the Fourth Proportional to 338,536.81, 467,180.80 and 187,633.81

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Solution

The fourth proportional to 338,536.81, 467,180.80 and 187,633.81 is: 258,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,536.81 : 467,180.80 = 187,633.81 : x
  2. Step 2: Convert to fraction form
    338,536.81/467,180.80 = 187,633.81/x
  3. Step 3: Cross multiply
    338,536.81x = 467,180.80 × 187,633.81
  4. Step 4: Simplify right side
    338,536.81x = 87,658,913,462.85
  5. Step 5: Solve for x
    x = 87,658,913,462.85/338,536.81
  6. Step 6: Final answer
    x = 258,934.66

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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.