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Finding the Fourth Proportional to 713,744.86, 984,877.12 and 407,841.07

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Solution

The fourth proportional to 713,744.86, 984,877.12 and 407,841.07 is: 562,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,744.86 : 984,877.12 = 407,841.07 : x
  2. Step 2: Convert to fraction form
    713,744.86/984,877.12 = 407,841.07/x
  3. Step 3: Cross multiply
    713,744.86x = 984,877.12 × 407,841.07
  4. Step 4: Simplify right side
    713,744.86x = 401,673,338,439.32
  5. Step 5: Solve for x
    x = 401,673,338,439.32/713,744.86
  6. Step 6: Final answer
    x = 562,768.80

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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.