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Finding the Fourth Proportional to 322,318.32, 444,935.66 and 217,564.98

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Solution

The fourth proportional to 322,318.32, 444,935.66 and 217,564.98 is: 300,331.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,318.32 : 444,935.66 = 217,564.98 : x
  2. Step 2: Convert to fraction form
    322,318.32/444,935.66 = 217,564.98/x
  3. Step 3: Cross multiply
    322,318.32x = 444,935.66 × 217,564.98
  4. Step 4: Simplify right side
    322,318.32x = 96,802,416,881.36
  5. Step 5: Solve for x
    x = 96,802,416,881.36/322,318.32
  6. Step 6: Final answer
    x = 300,331.72

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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.