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Finding the Fourth Proportional to 403,698.94, 605,132.78 and 179,165.12

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Solution

The fourth proportional to 403,698.94, 605,132.78 and 179,165.12 is: 268,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,698.94 : 605,132.78 = 179,165.12 : x
  2. Step 2: Convert to fraction form
    403,698.94/605,132.78 = 179,165.12/x
  3. Step 3: Cross multiply
    403,698.94x = 605,132.78 × 179,165.12
  4. Step 4: Simplify right side
    403,698.94x = 108,418,683,223.14
  5. Step 5: Solve for x
    x = 108,418,683,223.14/403,698.94
  6. Step 6: Final answer
    x = 268,563.21

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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.