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Finding the Fourth Proportional to 300,472.22, 414,652.01 and 164,507.24

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Solution

The fourth proportional to 300,472.22, 414,652.01 and 164,507.24 is: 227,020.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,472.22 : 414,652.01 = 164,507.24 : x
  2. Step 2: Convert to fraction form
    300,472.22/414,652.01 = 164,507.24/x
  3. Step 3: Cross multiply
    300,472.22x = 414,652.01 × 164,507.24
  4. Step 4: Simplify right side
    300,472.22x = 68,213,254,829.76
  5. Step 5: Solve for x
    x = 68,213,254,829.76/300,472.22
  6. Step 6: Final answer
    x = 227,020.17

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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.