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Finding the Fourth Proportional to 418,056.12, 576,920.46 and 227,069.52

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Solution

The fourth proportional to 418,056.12, 576,920.46 and 227,069.52 is: 313,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,056.12 : 576,920.46 = 227,069.52 : x
  2. Step 2: Convert to fraction form
    418,056.12/576,920.46 = 227,069.52/x
  3. Step 3: Cross multiply
    418,056.12x = 576,920.46 × 227,069.52
  4. Step 4: Simplify right side
    418,056.12x = 131,001,051,930.38
  5. Step 5: Solve for x
    x = 131,001,051,930.38/418,056.12
  6. Step 6: Final answer
    x = 313,357.57

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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.