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Finding the Fourth Proportional to 521,414.26, 719,551.68 and 282,950.26

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Solution

The fourth proportional to 521,414.26, 719,551.68 and 282,950.26 is: 390,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,414.26 : 719,551.68 = 282,950.26 : x
  2. Step 2: Convert to fraction form
    521,414.26/719,551.68 = 282,950.26/x
  3. Step 3: Cross multiply
    521,414.26x = 719,551.68 × 282,950.26
  4. Step 4: Simplify right side
    521,414.26x = 203,597,334,939.44
  5. Step 5: Solve for x
    x = 203,597,334,939.44/521,414.26
  6. Step 6: Final answer
    x = 390,471.36

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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.