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Finding the Fourth Proportional to 276,047.10, 413,811.45 and 216,042.30

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Solution

The fourth proportional to 276,047.10, 413,811.45 and 216,042.30 is: 323,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,047.10 : 413,811.45 = 216,042.30 : x
  2. Step 2: Convert to fraction form
    276,047.10/413,811.45 = 216,042.30/x
  3. Step 3: Cross multiply
    276,047.10x = 413,811.45 × 216,042.30
  4. Step 4: Simplify right side
    276,047.10x = 89,400,777,424.34
  5. Step 5: Solve for x
    x = 89,400,777,424.34/276,047.10
  6. Step 6: Final answer
    x = 323,860.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.