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Finding the Fourth Proportional to 378,090.06, 521,525.90 and 225,013.95

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Solution

The fourth proportional to 378,090.06, 521,525.90 and 225,013.95 is: 310,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,090.06 : 521,525.90 = 225,013.95 : x
  2. Step 2: Convert to fraction form
    378,090.06/521,525.90 = 225,013.95/x
  3. Step 3: Cross multiply
    378,090.06x = 521,525.90 × 225,013.95
  4. Step 4: Simplify right side
    378,090.06x = 117,350,602,786.31
  5. Step 5: Solve for x
    x = 117,350,602,786.31/378,090.06
  6. Step 6: Final answer
    x = 310,377.38

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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.