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Finding the Fourth Proportional to 567,863.04, 783,647.78 and 313,213.62

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Solution

The fourth proportional to 567,863.04, 783,647.78 and 313,213.62 is: 432,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,863.04 : 783,647.78 = 313,213.62 : x
  2. Step 2: Convert to fraction form
    567,863.04/783,647.78 = 313,213.62/x
  3. Step 3: Cross multiply
    567,863.04x = 783,647.78 × 313,213.62
  4. Step 4: Simplify right side
    567,863.04x = 245,449,157,978.76
  5. Step 5: Solve for x
    x = 245,449,157,978.76/567,863.04
  6. Step 6: Final answer
    x = 432,233.02

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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.