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Finding the Fourth Proportional to 777,794.50, 1,073,357.13 and 420,098.50

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Solution

The fourth proportional to 777,794.50, 1,073,357.13 and 420,098.50 is: 579,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,794.50 : 1,073,357.13 = 420,098.50 : x
  2. Step 2: Convert to fraction form
    777,794.50/1,073,357.13 = 420,098.50/x
  3. Step 3: Cross multiply
    777,794.50x = 1,073,357.13 × 420,098.50
  4. Step 4: Simplify right side
    777,794.50x = 450,915,720,277.31
  5. Step 5: Solve for x
    x = 450,915,720,277.31/777,794.50
  6. Step 6: Final answer
    x = 579,736.32

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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.