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Finding the Fourth Proportional to 278,585.72, 384,450.30 and 151,261.40

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Solution

The fourth proportional to 278,585.72, 384,450.30 and 151,261.40 is: 208,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,585.72 : 384,450.30 = 151,261.40 : x
  2. Step 2: Convert to fraction form
    278,585.72/384,450.30 = 151,261.40/x
  3. Step 3: Cross multiply
    278,585.72x = 384,450.30 × 151,261.40
  4. Step 4: Simplify right side
    278,585.72x = 58,152,490,608.42
  5. Step 5: Solve for x
    x = 58,152,490,608.42/278,585.72
  6. Step 6: Final answer
    x = 208,741.82

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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.