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Finding the Fourth Proportional to 409,162.88, 564,622.54 and 225,365.68

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Solution

The fourth proportional to 409,162.88, 564,622.54 and 225,365.68 is: 310,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,162.88 : 564,622.54 = 225,365.68 : x
  2. Step 2: Convert to fraction form
    409,162.88/564,622.54 = 225,365.68/x
  3. Step 3: Cross multiply
    409,162.88x = 564,622.54 × 225,365.68
  4. Step 4: Simplify right side
    409,162.88x = 127,246,543,446.63
  5. Step 5: Solve for x
    x = 127,246,543,446.63/409,162.88
  6. Step 6: Final answer
    x = 310,992.39

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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.