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Finding the Fourth Proportional to 417,871.40, 576,653.82 and 226,884.93

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Solution

The fourth proportional to 417,871.40, 576,653.82 and 226,884.93 is: 313,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,871.40 : 576,653.82 = 226,884.93 : x
  2. Step 2: Convert to fraction form
    417,871.40/576,653.82 = 226,884.93/x
  3. Step 3: Cross multiply
    417,871.40x = 576,653.82 × 226,884.93
  4. Step 4: Simplify right side
    417,871.40x = 130,834,061,584.93
  5. Step 5: Solve for x
    x = 130,834,061,584.93/417,871.40
  6. Step 6: Final answer
    x = 313,096.48

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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.