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Finding the Fourth Proportional to 419,463.24, 578,868.17 and 228,476.18

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Solution

The fourth proportional to 419,463.24, 578,868.17 and 228,476.18 is: 315,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,463.24 : 578,868.17 = 228,476.18 : x
  2. Step 2: Convert to fraction form
    419,463.24/578,868.17 = 228,476.18/x
  3. Step 3: Cross multiply
    419,463.24x = 578,868.17 × 228,476.18
  4. Step 4: Simplify right side
    419,463.24x = 132,257,584,168.47
  5. Step 5: Solve for x
    x = 132,257,584,168.47/419,463.24
  6. Step 6: Final answer
    x = 315,301.97

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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.