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Finding the Fourth Proportional to 705,876.80, 1,058,815.20 and 407,278.40

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Solution

The fourth proportional to 705,876.80, 1,058,815.20 and 407,278.40 is: 610,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,876.80 : 1,058,815.20 = 407,278.40 : x
  2. Step 2: Convert to fraction form
    705,876.80/1,058,815.20 = 407,278.40/x
  3. Step 3: Cross multiply
    705,876.80x = 1,058,815.20 × 407,278.40
  4. Step 4: Simplify right side
    705,876.80x = 431,232,560,551.68
  5. Step 5: Solve for x
    x = 431,232,560,551.68/705,876.80
  6. Step 6: Final answer
    x = 610,917.60

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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.