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Finding the Fourth Proportional to 713,794.06, 985,118.09 and 427,314.10

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Solution

The fourth proportional to 713,794.06, 985,118.09 and 427,314.10 is: 589,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,794.06 : 985,118.09 = 427,314.10 : x
  2. Step 2: Convert to fraction form
    713,794.06/985,118.09 = 427,314.10/x
  3. Step 3: Cross multiply
    713,794.06x = 985,118.09 × 427,314.10
  4. Step 4: Simplify right side
    713,794.06x = 420,954,850,022.07
  5. Step 5: Solve for x
    x = 420,954,850,022.07/713,794.06
  6. Step 6: Final answer
    x = 589,742.72

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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.