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Finding the Fourth Proportional to 338,649.48, 467,357.34 and 187,746.48

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Solution

The fourth proportional to 338,649.48, 467,357.34 and 187,746.48 is: 259,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,649.48 : 467,357.34 = 187,746.48 : x
  2. Step 2: Convert to fraction form
    338,649.48/467,357.34 = 187,746.48/x
  3. Step 3: Cross multiply
    338,649.48x = 467,357.34 × 187,746.48
  4. Step 4: Simplify right side
    338,649.48x = 87,744,695,487.16
  5. Step 5: Solve for x
    x = 87,744,695,487.16/338,649.48
  6. Step 6: Final answer
    x = 259,101.82

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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.