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Finding the Fourth Proportional to 599,768.40, 827,702.52 and 327,854.40

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Solution

The fourth proportional to 599,768.40, 827,702.52 and 327,854.40 is: 452,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,768.40 : 827,702.52 = 327,854.40 : x
  2. Step 2: Convert to fraction form
    599,768.40/827,702.52 = 327,854.40/x
  3. Step 3: Cross multiply
    599,768.40x = 827,702.52 × 327,854.40
  4. Step 4: Simplify right side
    599,768.40x = 271,365,913,073.09
  5. Step 5: Solve for x
    x = 271,365,913,073.09/599,768.40
  6. Step 6: Final answer
    x = 452,451.17

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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.