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Finding the Fourth Proportional to 370,588.41, 511,412.67 and 200,822.54

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Solution

The fourth proportional to 370,588.41, 511,412.67 and 200,822.54 is: 277,135.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,588.41 : 511,412.67 = 200,822.54 : x
  2. Step 2: Convert to fraction form
    370,588.41/511,412.67 = 200,822.54/x
  3. Step 3: Cross multiply
    370,588.41x = 511,412.67 × 200,822.54
  4. Step 4: Simplify right side
    370,588.41x = 102,703,188,820.52
  5. Step 5: Solve for x
    x = 102,703,188,820.52/370,588.41
  6. Step 6: Final answer
    x = 277,135.46

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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.