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Finding the Fourth Proportional to 278,639.49, 384,519.11 and 151,316

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Solution

The fourth proportional to 278,639.49, 384,519.11 and 151,316 is: 208,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,639.49 : 384,519.11 = 151,316 : x
  2. Step 2: Convert to fraction form
    278,639.49/384,519.11 = 151,316/x
  3. Step 3: Cross multiply
    278,639.49x = 384,519.11 × 151,316
  4. Step 4: Simplify right side
    278,639.49x = 58,183,893,648.76
  5. Step 5: Solve for x
    x = 58,183,893,648.76/278,639.49
  6. Step 6: Final answer
    x = 208,814.24

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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.