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Finding the Fourth Proportional to 322,143.36, 444,491.52 and 186,128.64

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Solution

The fourth proportional to 322,143.36, 444,491.52 and 186,128.64 is: 256,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,143.36 : 444,491.52 = 186,128.64 : x
  2. Step 2: Convert to fraction form
    322,143.36/444,491.52 = 186,128.64/x
  3. Step 3: Cross multiply
    322,143.36x = 444,491.52 × 186,128.64
  4. Step 4: Simplify right side
    322,143.36x = 82,732,602,109.13
  5. Step 5: Solve for x
    x = 82,732,602,109.13/322,143.36
  6. Step 6: Final answer
    x = 256,819.21

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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.