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Finding the Fourth Proportional to 713,742.86, 984,874.37 and 407,839.07

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Solution

The fourth proportional to 713,742.86, 984,874.37 and 407,839.07 is: 562,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,742.86 : 984,874.37 = 407,839.07 : x
  2. Step 2: Convert to fraction form
    713,742.86/984,874.37 = 407,839.07/x
  3. Step 3: Cross multiply
    713,742.86x = 984,874.37 × 407,839.07
  4. Step 4: Simplify right side
    713,742.86x = 401,670,247,550.63
  5. Step 5: Solve for x
    x = 401,670,247,550.63/713,742.86
  6. Step 6: Final answer
    x = 562,766.04

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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.