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Finding the Fourth Proportional to 322,264.48, 444,709.02 and 186,285.49

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Solution

The fourth proportional to 322,264.48, 444,709.02 and 186,285.49 is: 257,064.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,264.48 : 444,709.02 = 186,285.49 : x
  2. Step 2: Convert to fraction form
    322,264.48/444,709.02 = 186,285.49/x
  3. Step 3: Cross multiply
    322,264.48x = 444,709.02 × 186,285.49
  4. Step 4: Simplify right side
    322,264.48x = 82,842,837,698.12
  5. Step 5: Solve for x
    x = 82,842,837,698.12/322,264.48
  6. Step 6: Final answer
    x = 257,064.75

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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.