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Finding the Fourth Proportional to 408,301.92, 563,475.40 and 227,032.48

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Solution

The fourth proportional to 408,301.92, 563,475.40 and 227,032.48 is: 313,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,301.92 : 563,475.40 = 227,032.48 : x
  2. Step 2: Convert to fraction form
    408,301.92/563,475.40 = 227,032.48/x
  3. Step 3: Cross multiply
    408,301.92x = 563,475.40 × 227,032.48
  4. Step 4: Simplify right side
    408,301.92x = 127,927,217,480.99
  5. Step 5: Solve for x
    x = 127,927,217,480.99/408,301.92
  6. Step 6: Final answer
    x = 313,315.25

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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.