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Finding the Fourth Proportional to 322,420.87, 444,905.43 and 186,434.20

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Solution

The fourth proportional to 322,420.87, 444,905.43 and 186,434.20 is: 257,258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,420.87 : 444,905.43 = 186,434.20 : x
  2. Step 2: Convert to fraction form
    322,420.87/444,905.43 = 186,434.20/x
  3. Step 3: Cross multiply
    322,420.87x = 444,905.43 × 186,434.20
  4. Step 4: Simplify right side
    322,420.87x = 82,945,587,917.71
  5. Step 5: Solve for x
    x = 82,945,587,917.71/322,420.87
  6. Step 6: Final answer
    x = 257,258.74

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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.