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Finding the Fourth Proportional to 409,660.62, 565,365.33 and 225,935.13

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Solution

The fourth proportional to 409,660.62, 565,365.33 and 225,935.13 is: 311,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,660.62 : 565,365.33 = 225,935.13 : x
  2. Step 2: Convert to fraction form
    409,660.62/565,365.33 = 225,935.13/x
  3. Step 3: Cross multiply
    409,660.62x = 565,365.33 × 225,935.13
  4. Step 4: Simplify right side
    409,660.62x = 127,735,889,331.04
  5. Step 5: Solve for x
    x = 127,735,889,331.04/409,660.62
  6. Step 6: Final answer
    x = 311,809.05

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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.