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Finding the Fourth Proportional to 231,781.84, 345,935.12 and 216,648.24

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Solution

The fourth proportional to 231,781.84, 345,935.12 and 216,648.24 is: 323,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,781.84 : 345,935.12 = 216,648.24 : x
  2. Step 2: Convert to fraction form
    231,781.84/345,935.12 = 216,648.24/x
  3. Step 3: Cross multiply
    231,781.84x = 345,935.12 × 216,648.24
  4. Step 4: Simplify right side
    231,781.84x = 74,946,234,902.19
  5. Step 5: Solve for x
    x = 74,946,234,902.19/231,781.84
  6. Step 6: Final answer
    x = 323,348.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.