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Finding the Fourth Proportional to 302,410.56, 417,318.87 and 164,583.66

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Solution

The fourth proportional to 302,410.56, 417,318.87 and 164,583.66 is: 227,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,410.56 : 417,318.87 = 164,583.66 : x
  2. Step 2: Convert to fraction form
    302,410.56/417,318.87 = 164,583.66/x
  3. Step 3: Cross multiply
    302,410.56x = 417,318.87 × 164,583.66
  4. Step 4: Simplify right side
    302,410.56x = 68,683,867,011.66
  5. Step 5: Solve for x
    x = 68,683,867,011.66/302,410.56
  6. Step 6: Final answer
    x = 227,121.26

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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.