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Finding the Fourth Proportional to 417,866.58, 576,658.89 and 226,880.10

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Solution

The fourth proportional to 417,866.58, 576,658.89 and 226,880.10 is: 313,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,866.58 : 576,658.89 = 226,880.10 : x
  2. Step 2: Convert to fraction form
    417,866.58/576,658.89 = 226,880.10/x
  3. Step 3: Cross multiply
    417,866.58x = 576,658.89 × 226,880.10
  4. Step 4: Simplify right side
    417,866.58x = 130,832,426,629.09
  5. Step 5: Solve for x
    x = 130,832,426,629.09/417,866.58
  6. Step 6: Final answer
    x = 313,096.17

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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.