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Finding the Fourth Proportional to 395,178.24, 545,350.32 and 225,422.40

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Solution

The fourth proportional to 395,178.24, 545,350.32 and 225,422.40 is: 311,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,178.24 : 545,350.32 = 225,422.40 : x
  2. Step 2: Convert to fraction form
    395,178.24/545,350.32 = 225,422.40/x
  3. Step 3: Cross multiply
    395,178.24x = 545,350.32 × 225,422.40
  4. Step 4: Simplify right side
    395,178.24x = 122,934,177,975.17
  5. Step 5: Solve for x
    x = 122,934,177,975.17/395,178.24
  6. Step 6: Final answer
    x = 311,085.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.