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Finding the Fourth Proportional to 322,772.24, 445,479.75 and 186,782.76

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Solution

The fourth proportional to 322,772.24, 445,479.75 and 186,782.76 is: 257,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,772.24 : 445,479.75 = 186,782.76 : x
  2. Step 2: Convert to fraction form
    322,772.24/445,479.75 = 186,782.76/x
  3. Step 3: Cross multiply
    322,772.24x = 445,479.75 × 186,782.76
  4. Step 4: Simplify right side
    322,772.24x = 83,207,937,229.11
  5. Step 5: Solve for x
    x = 83,207,937,229.11/322,772.24
  6. Step 6: Final answer
    x = 257,791.49

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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.