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Finding the Fourth Proportional to 320,863.50, 442,908.46 and 186,727.50

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Solution

The fourth proportional to 320,863.50, 442,908.46 and 186,727.50 is: 257,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,863.50 : 442,908.46 = 186,727.50 : x
  2. Step 2: Convert to fraction form
    320,863.50/442,908.46 = 186,727.50/x
  3. Step 3: Cross multiply
    320,863.50x = 442,908.46 × 186,727.50
  4. Step 4: Simplify right side
    320,863.50x = 82,703,189,464.65
  5. Step 5: Solve for x
    x = 82,703,189,464.65/320,863.50
  6. Step 6: Final answer
    x = 257,751.94

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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.