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Finding the Fourth Proportional to 404,823.42, 607,233.85 and 109,335.42

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Solution

The fourth proportional to 404,823.42, 607,233.85 and 109,335.42 is: 164,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,823.42 : 607,233.85 = 109,335.42 : x
  2. Step 2: Convert to fraction form
    404,823.42/607,233.85 = 109,335.42/x
  3. Step 3: Cross multiply
    404,823.42x = 607,233.85 × 109,335.42
  4. Step 4: Simplify right side
    404,823.42x = 66,392,168,027.97
  5. Step 5: Solve for x
    x = 66,392,168,027.97/404,823.42
  6. Step 6: Final answer
    x = 164,002.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.