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Finding the Fourth Proportional to 537,104.25, 741,222.50 and 295,405.11

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Solution

The fourth proportional to 537,104.25, 741,222.50 and 295,405.11 is: 407,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,104.25 : 741,222.50 = 295,405.11 : x
  2. Step 2: Convert to fraction form
    537,104.25/741,222.50 = 295,405.11/x
  3. Step 3: Cross multiply
    537,104.25x = 741,222.50 × 295,405.11
  4. Step 4: Simplify right side
    537,104.25x = 218,960,912,669.95
  5. Step 5: Solve for x
    x = 218,960,912,669.95/537,104.25
  6. Step 6: Final answer
    x = 407,669.30

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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.