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Finding the Fourth Proportional to 713,611.35, 984,829.19 and 471,469.14

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Solution

The fourth proportional to 713,611.35, 984,829.19 and 471,469.14 is: 650,657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,611.35 : 984,829.19 = 471,469.14 : x
  2. Step 2: Convert to fraction form
    713,611.35/984,829.19 = 471,469.14/x
  3. Step 3: Cross multiply
    713,611.35x = 984,829.19 × 471,469.14
  4. Step 4: Simplify right side
    713,611.35x = 464,316,568,898.85
  5. Step 5: Solve for x
    x = 464,316,568,898.85/713,611.35
  6. Step 6: Final answer
    x = 650,657.49

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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.