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Finding the Fourth Proportional to 463,786.90, 694,774.29 and 319,667.11

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Solution

The fourth proportional to 463,786.90, 694,774.29 and 319,667.11 is: 478,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,786.90 : 694,774.29 = 319,667.11 : x
  2. Step 2: Convert to fraction form
    463,786.90/694,774.29 = 319,667.11/x
  3. Step 3: Cross multiply
    463,786.90x = 694,774.29 × 319,667.11
  4. Step 4: Simplify right side
    463,786.90x = 222,096,489,386.60
  5. Step 5: Solve for x
    x = 222,096,489,386.60/463,786.90
  6. Step 6: Final answer
    x = 478,876.16

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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.