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Finding the Fourth Proportional to 344,694.83, 475,344.86 and 229,978.17

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Solution

The fourth proportional to 344,694.83, 475,344.86 and 229,978.17 is: 317,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,694.83 : 475,344.86 = 229,978.17 : x
  2. Step 2: Convert to fraction form
    344,694.83/475,344.86 = 229,978.17/x
  3. Step 3: Cross multiply
    344,694.83x = 475,344.86 × 229,978.17
  4. Step 4: Simplify right side
    344,694.83x = 109,318,939,871.82
  5. Step 5: Solve for x
    x = 109,318,939,871.82/344,694.83
  6. Step 6: Final answer
    x = 317,147.03

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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.