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Finding the Fourth Proportional to 521,314.84, 778,737.70 and 378,022.60

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Solution

The fourth proportional to 521,314.84, 778,737.70 and 378,022.60 is: 564,688.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,314.84 : 778,737.70 = 378,022.60 : x
  2. Step 2: Convert to fraction form
    521,314.84/778,737.70 = 378,022.60/x
  3. Step 3: Cross multiply
    521,314.84x = 778,737.70 × 378,022.60
  4. Step 4: Simplify right side
    521,314.84x = 294,380,450,072.02
  5. Step 5: Solve for x
    x = 294,380,450,072.02/521,314.84
  6. Step 6: Final answer
    x = 564,688.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.