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Finding the Fourth Proportional to 417,688.90, 576,411.18 and 226,702.33

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Solution

The fourth proportional to 417,688.90, 576,411.18 and 226,702.33 is: 312,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,688.90 : 576,411.18 = 226,702.33 : x
  2. Step 2: Convert to fraction form
    417,688.90/576,411.18 = 226,702.33/x
  3. Step 3: Cross multiply
    417,688.90x = 576,411.18 × 226,702.33
  4. Step 4: Simplify right side
    417,688.90x = 130,673,757,544.05
  5. Step 5: Solve for x
    x = 130,673,757,544.05/417,688.90
  6. Step 6: Final answer
    x = 312,849.49

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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.