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Finding the Fourth Proportional to 778,538.16, 1,074,198.84 and 438,940.80

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Solution

The fourth proportional to 778,538.16, 1,074,198.84 and 438,940.80 is: 605,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,538.16 : 1,074,198.84 = 438,940.80 : x
  2. Step 2: Convert to fraction form
    778,538.16/1,074,198.84 = 438,940.80/x
  3. Step 3: Cross multiply
    778,538.16x = 1,074,198.84 × 438,940.80
  4. Step 4: Simplify right side
    778,538.16x = 471,509,698,188.67
  5. Step 5: Solve for x
    x = 471,509,698,188.67/778,538.16
  6. Step 6: Final answer
    x = 605,634.67

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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.