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Finding the Fourth Proportional to 417,706.95, 576,436.25 and 226,720.42

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Solution

The fourth proportional to 417,706.95, 576,436.25 and 226,720.42 is: 312,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,706.95 : 576,436.25 = 226,720.42 : x
  2. Step 2: Convert to fraction form
    417,706.95/576,436.25 = 226,720.42/x
  3. Step 3: Cross multiply
    417,706.95x = 576,436.25 × 226,720.42
  4. Step 4: Simplify right side
    417,706.95x = 130,689,868,703.23
  5. Step 5: Solve for x
    x = 130,689,868,703.23/417,706.95
  6. Step 6: Final answer
    x = 312,874.54

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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.