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Finding the Fourth Proportional to 399,094.14, 550,762.72 and 227,007.66

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Solution

The fourth proportional to 399,094.14, 550,762.72 and 227,007.66 is: 313,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,094.14 : 550,762.72 = 227,007.66 : x
  2. Step 2: Convert to fraction form
    399,094.14/550,762.72 = 227,007.66/x
  3. Step 3: Cross multiply
    399,094.14x = 550,762.72 × 227,007.66
  4. Step 4: Simplify right side
    399,094.14x = 125,027,356,282.44
  5. Step 5: Solve for x
    x = 125,027,356,282.44/399,094.14
  6. Step 6: Final answer
    x = 313,277.86

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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.