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Finding the Fourth Proportional to 509,078.46, 702,487.31 and 294,232.44

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Solution

The fourth proportional to 509,078.46, 702,487.31 and 294,232.44 is: 406,017.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,078.46 : 702,487.31 = 294,232.44 : x
  2. Step 2: Convert to fraction form
    509,078.46/702,487.31 = 294,232.44/x
  3. Step 3: Cross multiply
    509,078.46x = 702,487.31 × 294,232.44
  4. Step 4: Simplify right side
    509,078.46x = 206,694,553,819.17
  5. Step 5: Solve for x
    x = 206,694,553,819.17/509,078.46
  6. Step 6: Final answer
    x = 406,017.09

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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.