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Finding the Fourth Proportional to 541,813.38, 747,694.23 and 296,796.18

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Solution

The fourth proportional to 541,813.38, 747,694.23 and 296,796.18 is: 409,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,813.38 : 747,694.23 = 296,796.18 : x
  2. Step 2: Convert to fraction form
    541,813.38/747,694.23 = 296,796.18/x
  3. Step 3: Cross multiply
    541,813.38x = 747,694.23 × 296,796.18
  4. Step 4: Simplify right side
    541,813.38x = 221,912,791,272.04
  5. Step 5: Solve for x
    x = 221,912,791,272.04/541,813.38
  6. Step 6: Final answer
    x = 409,574.22

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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.