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Finding the Fourth Proportional to 320,854.50, 442,896.03 and 186,718.50

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Solution

The fourth proportional to 320,854.50, 442,896.03 and 186,718.50 is: 257,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,854.50 : 442,896.03 = 186,718.50 : x
  2. Step 2: Convert to fraction form
    320,854.50/442,896.03 = 186,718.50/x
  3. Step 3: Cross multiply
    320,854.50x = 442,896.03 × 186,718.50
  4. Step 4: Simplify right side
    320,854.50x = 82,696,882,377.56
  5. Step 5: Solve for x
    x = 82,696,882,377.56/320,854.50
  6. Step 6: Final answer
    x = 257,739.51

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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.