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Finding the Fourth Proportional to 419,022, 578,149.52 and 246,946.82

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Solution

The fourth proportional to 419,022, 578,149.52 and 246,946.82 is: 340,727.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,022 : 578,149.52 = 246,946.82 : x
  2. Step 2: Convert to fraction form
    419,022/578,149.52 = 246,946.82/x
  3. Step 3: Cross multiply
    419,022x = 578,149.52 × 246,946.82
  4. Step 4: Simplify right side
    419,022x = 142,772,181,323.05
  5. Step 5: Solve for x
    x = 142,772,181,323.05/419,022
  6. Step 6: Final answer
    x = 340,727.17

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1.5x scale

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.