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Finding the Fourth Proportional to 521,251, 719,321.52 and 294,896.50

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Solution

The fourth proportional to 521,251, 719,321.52 and 294,896.50 is: 406,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,251 : 719,321.52 = 294,896.50 : x
  2. Step 2: Convert to fraction form
    521,251/719,321.52 = 294,896.50/x
  3. Step 3: Cross multiply
    521,251x = 719,321.52 × 294,896.50
  4. Step 4: Simplify right side
    521,251x = 212,125,398,622.68
  5. Step 5: Solve for x
    x = 212,125,398,622.68/521,251
  6. Step 6: Final answer
    x = 406,954.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.