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Finding the Fourth Proportional to 429,812.46, 593,144.06 and 268,761.78

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Solution

The fourth proportional to 429,812.46, 593,144.06 and 268,761.78 is: 370,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,812.46 : 593,144.06 = 268,761.78 : x
  2. Step 2: Convert to fraction form
    429,812.46/593,144.06 = 268,761.78/x
  3. Step 3: Cross multiply
    429,812.46x = 593,144.06 × 268,761.78
  4. Step 4: Simplify right side
    429,812.46x = 159,414,452,018.22
  5. Step 5: Solve for x
    x = 159,414,452,018.22/429,812.46
  6. Step 6: Final answer
    x = 370,893.04

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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.