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Finding the Fourth Proportional to 537,571.92, 741,834.31 and 305,041.21

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Solution

The fourth proportional to 537,571.92, 741,834.31 and 305,041.21 is: 420,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,571.92 : 741,834.31 = 305,041.21 : x
  2. Step 2: Convert to fraction form
    537,571.92/741,834.31 = 305,041.21/x
  3. Step 3: Cross multiply
    537,571.92x = 741,834.31 × 305,041.21
  4. Step 4: Simplify right side
    537,571.92x = 226,290,035,541.92
  5. Step 5: Solve for x
    x = 226,290,035,541.92/537,571.92
  6. Step 6: Final answer
    x = 420,948.39

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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.