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Finding the Fourth Proportional to 387,816.12, 535,237.29 and 218,082.96

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Solution

The fourth proportional to 387,816.12, 535,237.29 and 218,082.96 is: 300,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,816.12 : 535,237.29 = 218,082.96 : x
  2. Step 2: Convert to fraction form
    387,816.12/535,237.29 = 218,082.96/x
  3. Step 3: Cross multiply
    387,816.12x = 535,237.29 × 218,082.96
  4. Step 4: Simplify right side
    387,816.12x = 116,726,132,505.58
  5. Step 5: Solve for x
    x = 116,726,132,505.58/387,816.12
  6. Step 6: Final answer
    x = 300,983.19

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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.