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Finding the Fourth Proportional to 408,453.48, 563,681.34 and 227,178.51

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Solution

The fourth proportional to 408,453.48, 563,681.34 and 227,178.51 is: 313,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,453.48 : 563,681.34 = 227,178.51 : x
  2. Step 2: Convert to fraction form
    408,453.48/563,681.34 = 227,178.51/x
  3. Step 3: Cross multiply
    408,453.48x = 563,681.34 × 227,178.51
  4. Step 4: Simplify right side
    408,453.48x = 128,056,286,936.00
  5. Step 5: Solve for x
    x = 128,056,286,936.00/408,453.48
  6. Step 6: Final answer
    x = 313,514.99

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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.