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Finding the Fourth Proportional to 395,475.12, 545,794.74 and 225,734.76

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Solution

The fourth proportional to 395,475.12, 545,794.74 and 225,734.76 is: 311,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,475.12 : 545,794.74 = 225,734.76 : x
  2. Step 2: Convert to fraction form
    395,475.12/545,794.74 = 225,734.76/x
  3. Step 3: Cross multiply
    395,475.12x = 545,794.74 × 225,734.76
  4. Step 4: Simplify right side
    395,475.12x = 123,204,844,643.16
  5. Step 5: Solve for x
    x = 123,204,844,643.16/395,475.12
  6. Step 6: Final answer
    x = 311,536.27

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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.