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Finding the Fourth Proportional to 370,291.44, 511,002.60 and 200,525.76

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Solution

The fourth proportional to 370,291.44, 511,002.60 and 200,525.76 is: 276,725.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,291.44 : 511,002.60 = 200,525.76 : x
  2. Step 2: Convert to fraction form
    370,291.44/511,002.60 = 200,525.76/x
  3. Step 3: Cross multiply
    370,291.44x = 511,002.60 × 200,525.76
  4. Step 4: Simplify right side
    370,291.44x = 102,469,184,726.98
  5. Step 5: Solve for x
    x = 102,469,184,726.98/370,291.44
  6. Step 6: Final answer
    x = 276,725.77

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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.