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Finding the Fourth Proportional to 338,817.76, 467,572.16 and 187,924.48

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Solution

The fourth proportional to 338,817.76, 467,572.16 and 187,924.48 is: 259,337.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,817.76 : 467,572.16 = 187,924.48 : x
  2. Step 2: Convert to fraction form
    338,817.76/467,572.16 = 187,924.48/x
  3. Step 3: Cross multiply
    338,817.76x = 467,572.16 × 187,924.48
  4. Step 4: Simplify right side
    338,817.76x = 87,868,255,030.48
  5. Step 5: Solve for x
    x = 87,868,255,030.48/338,817.76
  6. Step 6: Final answer
    x = 259,337.81

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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.