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Finding the Fourth Proportional to 262,804.80, 394,110 and 206,754.24

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Solution

The fourth proportional to 262,804.80, 394,110 and 206,754.24 is: 310,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804.80 : 394,110 = 206,754.24 : x
  2. Step 2: Convert to fraction form
    262,804.80/394,110 = 206,754.24/x
  3. Step 3: Cross multiply
    262,804.80x = 394,110 × 206,754.24
  4. Step 4: Simplify right side
    262,804.80x = 81,483,913,526.40
  5. Step 5: Solve for x
    x = 81,483,913,526.40/262,804.80
  6. Step 6: Final answer
    x = 310,054.89

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1.5x scale

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.