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Finding the Fourth Proportional to 417,871.74, 576,663.75 and 226,884.54

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Solution

The fourth proportional to 417,871.74, 576,663.75 and 226,884.54 is: 313,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,871.74 : 576,663.75 = 226,884.54 : x
  2. Step 2: Convert to fraction form
    417,871.74/576,663.75 = 226,884.54/x
  3. Step 3: Cross multiply
    417,871.74x = 576,663.75 × 226,884.54
  4. Step 4: Simplify right side
    417,871.74x = 130,836,089,653.43
  5. Step 5: Solve for x
    x = 130,836,089,653.43/417,871.74
  6. Step 6: Final answer
    x = 313,101.07

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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.