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Finding the Fourth Proportional to 617,266.80, 925,738.14 and 262,098

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Solution

The fourth proportional to 617,266.80, 925,738.14 and 262,098 is: 393,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,266.80 : 925,738.14 = 262,098 : x
  2. Step 2: Convert to fraction form
    617,266.80/925,738.14 = 262,098/x
  3. Step 3: Cross multiply
    617,266.80x = 925,738.14 × 262,098
  4. Step 4: Simplify right side
    617,266.80x = 242,634,115,017.72
  5. Step 5: Solve for x
    x = 242,634,115,017.72/617,266.80
  6. Step 6: Final answer
    x = 393,078.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.