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Finding the Fourth Proportional to 553,809.25, 764,257.44 and 299,160.44

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Solution

The fourth proportional to 553,809.25, 764,257.44 and 299,160.44 is: 412,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,809.25 : 764,257.44 = 299,160.44 : x
  2. Step 2: Convert to fraction form
    553,809.25/764,257.44 = 299,160.44/x
  3. Step 3: Cross multiply
    553,809.25x = 764,257.44 × 299,160.44
  4. Step 4: Simplify right side
    553,809.25x = 228,635,588,202.39
  5. Step 5: Solve for x
    x = 228,635,588,202.39/553,809.25
  6. Step 6: Final answer
    x = 412,841.77

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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.