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Finding the Fourth Proportional to 395,398.10, 545,658.54 and 225,648.02

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Solution

The fourth proportional to 395,398.10, 545,658.54 and 225,648.02 is: 311,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,398.10 : 545,658.54 = 225,648.02 : x
  2. Step 2: Convert to fraction form
    395,398.10/545,658.54 = 225,648.02/x
  3. Step 3: Cross multiply
    395,398.10x = 545,658.54 × 225,648.02
  4. Step 4: Simplify right side
    395,398.10x = 123,126,769,147.09
  5. Step 5: Solve for x
    x = 123,126,769,147.09/395,398.10
  6. Step 6: Final answer
    x = 311,399.50

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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.