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Finding the Fourth Proportional to 629,198.28, 942,864.12 and 462,169.80

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Solution

The fourth proportional to 629,198.28, 942,864.12 and 462,169.80 is: 692,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,198.28 : 942,864.12 = 462,169.80 : x
  2. Step 2: Convert to fraction form
    629,198.28/942,864.12 = 462,169.80/x
  3. Step 3: Cross multiply
    629,198.28x = 942,864.12 × 462,169.80
  4. Step 4: Simplify right side
    629,198.28x = 435,763,321,767.58
  5. Step 5: Solve for x
    x = 435,763,321,767.58/629,198.28
  6. Step 6: Final answer
    x = 692,569.16

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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.