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Finding the Fourth Proportional to 403,965.60, 605,963.70 and 151,219.47

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Solution

The fourth proportional to 403,965.60, 605,963.70 and 151,219.47 is: 226,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,965.60 : 605,963.70 = 151,219.47 : x
  2. Step 2: Convert to fraction form
    403,965.60/605,963.70 = 151,219.47/x
  3. Step 3: Cross multiply
    403,965.60x = 605,963.70 × 151,219.47
  4. Step 4: Simplify right side
    403,965.60x = 91,633,509,553.24
  5. Step 5: Solve for x
    x = 91,633,509,553.24/403,965.60
  6. Step 6: Final answer
    x = 226,834.93

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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.