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Finding the Fourth Proportional to 589,706.44, 813,151.78 and 398,387.64

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Solution

The fourth proportional to 589,706.44, 813,151.78 and 398,387.64 is: 549,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,706.44 : 813,151.78 = 398,387.64 : x
  2. Step 2: Convert to fraction form
    589,706.44/813,151.78 = 398,387.64/x
  3. Step 3: Cross multiply
    589,706.44x = 813,151.78 × 398,387.64
  4. Step 4: Simplify right side
    589,706.44x = 323,949,618,596.00
  5. Step 5: Solve for x
    x = 323,949,618,596.00/589,706.44
  6. Step 6: Final answer
    x = 549,340.48

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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.