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Finding the Fourth Proportional to 421,346.75, 581,458.53 and 227,753.83

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Solution

The fourth proportional to 421,346.75, 581,458.53 and 227,753.83 is: 314,300.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,346.75 : 581,458.53 = 227,753.83 : x
  2. Step 2: Convert to fraction form
    421,346.75/581,458.53 = 227,753.83/x
  3. Step 3: Cross multiply
    421,346.75x = 581,458.53 × 227,753.83
  4. Step 4: Simplify right side
    421,346.75x = 132,429,404,286.38
  5. Step 5: Solve for x
    x = 132,429,404,286.38/421,346.75
  6. Step 6: Final answer
    x = 314,300.29

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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.