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Finding the Fourth Proportional to 278,857.54, 384,822.66 and 151,533.16

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Solution

The fourth proportional to 278,857.54, 384,822.66 and 151,533.16 is: 209,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,857.54 : 384,822.66 = 151,533.16 : x
  2. Step 2: Convert to fraction form
    278,857.54/384,822.66 = 151,533.16/x
  3. Step 3: Cross multiply
    278,857.54x = 384,822.66 × 151,533.16
  4. Step 4: Simplify right side
    278,857.54x = 58,313,393,709.41
  5. Step 5: Solve for x
    x = 58,313,393,709.41/278,857.54
  6. Step 6: Final answer
    x = 209,115.36

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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.