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Finding the Fourth Proportional to 229,301.70, 343,296.45 and 222,740.70

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Solution

The fourth proportional to 229,301.70, 343,296.45 and 222,740.70 is: 333,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,301.70 : 343,296.45 = 222,740.70 : x
  2. Step 2: Convert to fraction form
    229,301.70/343,296.45 = 222,740.70/x
  3. Step 3: Cross multiply
    229,301.70x = 343,296.45 × 222,740.70
  4. Step 4: Simplify right side
    229,301.70x = 76,466,091,580.52
  5. Step 5: Solve for x
    x = 76,466,091,580.52/229,301.70
  6. Step 6: Final answer
    x = 333,473.72

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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.