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Finding the Fourth Proportional to 778,064.78, 1,073,728.50 and 420,368.78

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Solution

The fourth proportional to 778,064.78, 1,073,728.50 and 420,368.78 is: 580,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,064.78 : 1,073,728.50 = 420,368.78 : x
  2. Step 2: Convert to fraction form
    778,064.78/1,073,728.50 = 420,368.78/x
  3. Step 3: Cross multiply
    778,064.78x = 1,073,728.50 × 420,368.78
  4. Step 4: Simplify right side
    778,064.78x = 451,361,939,596.23
  5. Step 5: Solve for x
    x = 451,361,939,596.23/778,064.78
  6. Step 6: Final answer
    x = 580,108.43

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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.