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Finding the Fourth Proportional to 229,303.20, 343,298.70 and 222,742.20

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Solution

The fourth proportional to 229,303.20, 343,298.70 and 222,742.20 is: 333,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,303.20 : 343,298.70 = 222,742.20 : x
  2. Step 2: Convert to fraction form
    229,303.20/343,298.70 = 222,742.20/x
  3. Step 3: Cross multiply
    229,303.20x = 343,298.70 × 222,742.20
  4. Step 4: Simplify right side
    229,303.20x = 76,467,107,695.14
  5. Step 5: Solve for x
    x = 76,467,107,695.14/229,303.20
  6. Step 6: Final answer
    x = 333,475.97

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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.