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Finding the Fourth Proportional to 417,578.78, 576,269.89 and 226,592.33

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Solution

The fourth proportional to 417,578.78, 576,269.89 and 226,592.33 is: 312,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,578.78 : 576,269.89 = 226,592.33 : x
  2. Step 2: Convert to fraction form
    417,578.78/576,269.89 = 226,592.33/x
  3. Step 3: Cross multiply
    417,578.78x = 576,269.89 × 226,592.33
  4. Step 4: Simplify right side
    417,578.78x = 130,578,333,636.11
  5. Step 5: Solve for x
    x = 130,578,333,636.11/417,578.78
  6. Step 6: Final answer
    x = 312,703.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.