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Finding the Fourth Proportional to 713,963.80, 1,072,695.30 and 536,816.80

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Solution

The fourth proportional to 713,963.80, 1,072,695.30 and 536,816.80 is: 806,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,963.80 : 1,072,695.30 = 536,816.80 : x
  2. Step 2: Convert to fraction form
    713,963.80/1,072,695.30 = 536,816.80/x
  3. Step 3: Cross multiply
    713,963.80x = 1,072,695.30 × 536,816.80
  4. Step 4: Simplify right side
    713,963.80x = 575,840,858,321.04
  5. Step 5: Solve for x
    x = 575,840,858,321.04/713,963.80
  6. Step 6: Final answer
    x = 806,540.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.