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Finding the Fourth Proportional to 552,046.20, 826,319.70 and 394,582.20

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Solution

The fourth proportional to 552,046.20, 826,319.70 and 394,582.20 is: 590,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,046.20 : 826,319.70 = 394,582.20 : x
  2. Step 2: Convert to fraction form
    552,046.20/826,319.70 = 394,582.20/x
  3. Step 3: Cross multiply
    552,046.20x = 826,319.70 × 394,582.20
  4. Step 4: Simplify right side
    552,046.20x = 326,051,045,129.34
  5. Step 5: Solve for x
    x = 326,051,045,129.34/552,046.20
  6. Step 6: Final answer
    x = 590,622.75

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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.