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Finding the Fourth Proportional to 403,975.34, 605,978.34 and 151,229.24

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Solution

The fourth proportional to 403,975.34, 605,978.34 and 151,229.24 is: 226,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,975.34 : 605,978.34 = 151,229.24 : x
  2. Step 2: Convert to fraction form
    403,975.34/605,978.34 = 151,229.24/x
  3. Step 3: Cross multiply
    403,975.34x = 605,978.34 × 151,229.24
  4. Step 4: Simplify right side
    403,975.34x = 91,641,643,814.66
  5. Step 5: Solve for x
    x = 91,641,643,814.66/403,975.34
  6. Step 6: Final answer
    x = 226,849.60

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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.