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Finding the Fourth Proportional to 334,842.30, 501,097.05 and 229,866.30

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Solution

The fourth proportional to 334,842.30, 501,097.05 and 229,866.30 is: 343,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,842.30 : 501,097.05 = 229,866.30 : x
  2. Step 2: Convert to fraction form
    334,842.30/501,097.05 = 229,866.30/x
  3. Step 3: Cross multiply
    334,842.30x = 501,097.05 × 229,866.30
  4. Step 4: Simplify right side
    334,842.30x = 115,185,324,824.42
  5. Step 5: Solve for x
    x = 115,185,324,824.42/334,842.30
  6. Step 6: Final answer
    x = 343,998.73

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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.