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Finding the Fourth Proportional to 713,371.26, 984,577.20 and 541,857

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Solution

The fourth proportional to 713,371.26, 984,577.20 and 541,857 is: 747,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,371.26 : 984,577.20 = 541,857 : x
  2. Step 2: Convert to fraction form
    713,371.26/984,577.20 = 541,857/x
  3. Step 3: Cross multiply
    713,371.26x = 984,577.20 × 541,857
  4. Step 4: Simplify right side
    713,371.26x = 533,500,047,860.40
  5. Step 5: Solve for x
    x = 533,500,047,860.40/713,371.26
  6. Step 6: Final answer
    x = 747,857.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.