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Finding the Fourth Proportional to 395,393.12, 545,681.64 and 225,652.76

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Solution

The fourth proportional to 395,393.12, 545,681.64 and 225,652.76 is: 311,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,393.12 : 545,681.64 = 225,652.76 : x
  2. Step 2: Convert to fraction form
    395,393.12/545,681.64 = 225,652.76/x
  3. Step 3: Cross multiply
    395,393.12x = 545,681.64 × 225,652.76
  4. Step 4: Simplify right side
    395,393.12x = 123,134,568,147.33
  5. Step 5: Solve for x
    x = 123,134,568,147.33/395,393.12
  6. Step 6: Final answer
    x = 311,423.14

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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.