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Finding the Fourth Proportional to 403,571.27, 605,442.29 and 133,684.13

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Solution

The fourth proportional to 403,571.27, 605,442.29 and 133,684.13 is: 200,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,571.27 : 605,442.29 = 133,684.13 : x
  2. Step 2: Convert to fraction form
    403,571.27/605,442.29 = 133,684.13/x
  3. Step 3: Cross multiply
    403,571.27x = 605,442.29 × 133,684.13
  4. Step 4: Simplify right side
    403,571.27x = 80,938,025,803.86
  5. Step 5: Solve for x
    x = 80,938,025,803.86/403,571.27
  6. Step 6: Final answer
    x = 200,554.48

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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.