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Finding the Fourth Proportional to 274,206.52, 378,447.78 and 166,810.24

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Solution

The fourth proportional to 274,206.52, 378,447.78 and 166,810.24 is: 230,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,206.52 : 378,447.78 = 166,810.24 : x
  2. Step 2: Convert to fraction form
    274,206.52/378,447.78 = 166,810.24/x
  3. Step 3: Cross multiply
    274,206.52x = 378,447.78 × 166,810.24
  4. Step 4: Simplify right side
    274,206.52x = 63,128,965,009.27
  5. Step 5: Solve for x
    x = 63,128,965,009.27/274,206.52
  6. Step 6: Final answer
    x = 230,224.16

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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.