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Finding the Fourth Proportional to 775,345, 1,163,017.50 and 206,728.04

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Solution

The fourth proportional to 775,345, 1,163,017.50 and 206,728.04 is: 310,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,345 : 1,163,017.50 = 206,728.04 : x
  2. Step 2: Convert to fraction form
    775,345/1,163,017.50 = 206,728.04/x
  3. Step 3: Cross multiply
    775,345x = 1,163,017.50 × 206,728.04
  4. Step 4: Simplify right side
    775,345x = 240,428,328,260.70
  5. Step 5: Solve for x
    x = 240,428,328,260.70/775,345
  6. Step 6: Final answer
    x = 310,092.06

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