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Finding the Fourth Proportional to 595,081.48, 821,218.26 and 326,809.48

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Solution

The fourth proportional to 595,081.48, 821,218.26 and 326,809.48 is: 451,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,081.48 : 821,218.26 = 326,809.48 : x
  2. Step 2: Convert to fraction form
    595,081.48/821,218.26 = 326,809.48/x
  3. Step 3: Cross multiply
    595,081.48x = 821,218.26 × 326,809.48
  4. Step 4: Simplify right side
    595,081.48x = 268,381,912,517.11
  5. Step 5: Solve for x
    x = 268,381,912,517.11/595,081.48
  6. Step 6: Final answer
    x = 451,000.28

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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.