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Finding the Fourth Proportional to 370,476.80, 511,229.75 and 225,262.42

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Solution

The fourth proportional to 370,476.80, 511,229.75 and 225,262.42 is: 310,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,476.80 : 511,229.75 = 225,262.42 : x
  2. Step 2: Convert to fraction form
    370,476.80/511,229.75 = 225,262.42/x
  3. Step 3: Cross multiply
    370,476.80x = 511,229.75 × 225,262.42
  4. Step 4: Simplify right side
    370,476.80x = 115,160,848,256.61
  5. Step 5: Solve for x
    x = 115,160,848,256.61/370,476.80
  6. Step 6: Final answer
    x = 310,844.96

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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.