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Finding the Fourth Proportional to 278,807.82, 384,756.39 and 151,484.46

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Solution

The fourth proportional to 278,807.82, 384,756.39 and 151,484.46 is: 209,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,807.82 : 384,756.39 = 151,484.46 : x
  2. Step 2: Convert to fraction form
    278,807.82/384,756.39 = 151,484.46/x
  3. Step 3: Cross multiply
    278,807.82x = 384,756.39 × 151,484.46
  4. Step 4: Simplify right side
    278,807.82x = 58,284,613,970.70
  5. Step 5: Solve for x
    x = 58,284,613,970.70/278,807.82
  6. Step 6: Final answer
    x = 209,049.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.