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Finding the Fourth Proportional to 417,658.87, 576,369.64 and 226,672.31

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Solution

The fourth proportional to 417,658.87, 576,369.64 and 226,672.31 is: 312,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,658.87 : 576,369.64 = 226,672.31 : x
  2. Step 2: Convert to fraction form
    417,658.87/576,369.64 = 226,672.31/x
  3. Step 3: Cross multiply
    417,658.87x = 576,369.64 × 226,672.31
  4. Step 4: Simplify right side
    417,658.87x = 130,647,037,712.67
  5. Step 5: Solve for x
    x = 130,647,037,712.67/417,658.87
  6. Step 6: Final answer
    x = 312,808.00

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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.