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Finding the Fourth Proportional to 378,091.47, 521,602.30 and 225,043.84

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Solution

The fourth proportional to 378,091.47, 521,602.30 and 225,043.84 is: 310,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,091.47 : 521,602.30 = 225,043.84 : x
  2. Step 2: Convert to fraction form
    378,091.47/521,602.30 = 225,043.84/x
  3. Step 3: Cross multiply
    378,091.47x = 521,602.30 × 225,043.84
  4. Step 4: Simplify right side
    378,091.47x = 117,383,384,544.83
  5. Step 5: Solve for x
    x = 117,383,384,544.83/378,091.47
  6. Step 6: Final answer
    x = 310,462.93

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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.