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Finding the Fourth Proportional to 778,542.40, 1,074,388.80 and 420,846.40

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Solution

The fourth proportional to 778,542.40, 1,074,388.80 and 420,846.40 is: 580,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,542.40 : 1,074,388.80 = 420,846.40 : x
  2. Step 2: Convert to fraction form
    778,542.40/1,074,388.80 = 420,846.40/x
  3. Step 3: Cross multiply
    778,542.40x = 1,074,388.80 × 420,846.40
  4. Step 4: Simplify right side
    778,542.40x = 452,152,658,680.32
  5. Step 5: Solve for x
    x = 452,152,658,680.32/778,542.40
  6. Step 6: Final answer
    x = 580,768.19

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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.