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Finding the Fourth Proportional to 534,213.60, 801,020.85 and 365,923.95

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Solution

The fourth proportional to 534,213.60, 801,020.85 and 365,923.95 is: 548,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,213.60 : 801,020.85 = 365,923.95 : x
  2. Step 2: Convert to fraction form
    534,213.60/801,020.85 = 365,923.95/x
  3. Step 3: Cross multiply
    534,213.60x = 801,020.85 × 365,923.95
  4. Step 4: Simplify right side
    534,213.60x = 293,112,713,464.36
  5. Step 5: Solve for x
    x = 293,112,713,464.36/534,213.60
  6. Step 6: Final answer
    x = 548,680.74

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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.