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Finding the Fourth Proportional to 278,728.96, 384,653.12 and 151,411.84

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Solution

The fourth proportional to 278,728.96, 384,653.12 and 151,411.84 is: 208,952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,728.96 : 384,653.12 = 151,411.84 : x
  2. Step 2: Convert to fraction form
    278,728.96/384,653.12 = 151,411.84/x
  3. Step 3: Cross multiply
    278,728.96x = 384,653.12 × 151,411.84
  4. Step 4: Simplify right side
    278,728.96x = 58,241,036,660.94
  5. Step 5: Solve for x
    x = 58,241,036,660.94/278,728.96
  6. Step 6: Final answer
    x = 208,952.23

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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.