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Finding the Fourth Proportional to 227,719.40, 340,964.70 and 227,719.40

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Solution

The fourth proportional to 227,719.40, 340,964.70 and 227,719.40 is: 340,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,719.40 : 340,964.70 = 227,719.40 : x
  2. Step 2: Convert to fraction form
    227,719.40/340,964.70 = 227,719.40/x
  3. Step 3: Cross multiply
    227,719.40x = 340,964.70 × 227,719.40
  4. Step 4: Simplify right side
    227,719.40x = 77,644,276,905.18
  5. Step 5: Solve for x
    x = 77,644,276,905.18/227,719.40
  6. Step 6: Final answer
    x = 340,964.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.