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Finding the Fourth Proportional to 521,166.56, 719,202.96 and 294,812

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Solution

The fourth proportional to 521,166.56, 719,202.96 and 294,812 is: 406,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,166.56 : 719,202.96 = 294,812 : x
  2. Step 2: Convert to fraction form
    521,166.56/719,202.96 = 294,812/x
  3. Step 3: Cross multiply
    521,166.56x = 719,202.96 × 294,812
  4. Step 4: Simplify right side
    521,166.56x = 212,029,663,043.52
  5. Step 5: Solve for x
    x = 212,029,663,043.52/521,166.56
  6. Step 6: Final answer
    x = 406,836.66

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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.