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Finding the Fourth Proportional to 395,697.12, 546,050.16 and 225,898.08

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Solution

The fourth proportional to 395,697.12, 546,050.16 and 225,898.08 is: 311,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,697.12 : 546,050.16 = 225,898.08 : x
  2. Step 2: Convert to fraction form
    395,697.12/546,050.16 = 225,898.08/x
  3. Step 3: Cross multiply
    395,697.12x = 546,050.16 × 225,898.08
  4. Step 4: Simplify right side
    395,697.12x = 123,351,682,727.69
  5. Step 5: Solve for x
    x = 123,351,682,727.69/395,697.12
  6. Step 6: Final answer
    x = 311,732.58

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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.