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Finding the Fourth Proportional to 650,794.72, 976,821.78 and 314,072.40

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Solution

The fourth proportional to 650,794.72, 976,821.78 and 314,072.40 is: 471,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,794.72 : 976,821.78 = 314,072.40 : x
  2. Step 2: Convert to fraction form
    650,794.72/976,821.78 = 314,072.40/x
  3. Step 3: Cross multiply
    650,794.72x = 976,821.78 × 314,072.40
  4. Step 4: Simplify right side
    650,794.72x = 306,792,763,891.07
  5. Step 5: Solve for x
    x = 306,792,763,891.07/650,794.72
  6. Step 6: Final answer
    x = 471,412.50

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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.