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Finding the Fourth Proportional to 340,491.25, 510,548.14 and 157,922.92

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Solution

The fourth proportional to 340,491.25, 510,548.14 and 157,922.92 is: 236,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,491.25 : 510,548.14 = 157,922.92 : x
  2. Step 2: Convert to fraction form
    340,491.25/510,548.14 = 157,922.92/x
  3. Step 3: Cross multiply
    340,491.25x = 510,548.14 × 157,922.92
  4. Step 4: Simplify right side
    340,491.25x = 80,627,253,069.37
  5. Step 5: Solve for x
    x = 80,627,253,069.37/340,491.25
  6. Step 6: Final answer
    x = 236,796.84

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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.