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Finding the Fourth Proportional to 412,313.58, 617,092.32 and 234,772.94

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Solution

The fourth proportional to 412,313.58, 617,092.32 and 234,772.94 is: 351,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,313.58 : 617,092.32 = 234,772.94 : x
  2. Step 2: Convert to fraction form
    412,313.58/617,092.32 = 234,772.94/x
  3. Step 3: Cross multiply
    412,313.58x = 617,092.32 × 234,772.94
  4. Step 4: Simplify right side
    412,313.58x = 144,876,578,217.82
  5. Step 5: Solve for x
    x = 144,876,578,217.82/412,313.58
  6. Step 6: Final answer
    x = 351,374.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.