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Finding the Fourth Proportional to 474,706.30, 655,078.38 and 270,823.22

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Solution

The fourth proportional to 474,706.30, 655,078.38 and 270,823.22 is: 373,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,706.30 : 655,078.38 = 270,823.22 : x
  2. Step 2: Convert to fraction form
    474,706.30/655,078.38 = 270,823.22/x
  3. Step 3: Cross multiply
    474,706.30x = 655,078.38 × 270,823.22
  4. Step 4: Simplify right side
    474,706.30x = 177,410,436,223.98
  5. Step 5: Solve for x
    x = 177,410,436,223.98/474,706.30
  6. Step 6: Final answer
    x = 373,726.74

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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.