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Finding the Fourth Proportional to 329,639.76, 493,948.13 and 228,635.06

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Solution

The fourth proportional to 329,639.76, 493,948.13 and 228,635.06 is: 342,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,639.76 : 493,948.13 = 228,635.06 : x
  2. Step 2: Convert to fraction form
    329,639.76/493,948.13 = 228,635.06/x
  3. Step 3: Cross multiply
    329,639.76x = 493,948.13 × 228,635.06
  4. Step 4: Simplify right side
    329,639.76x = 112,933,856,726.52
  5. Step 5: Solve for x
    x = 112,933,856,726.52/329,639.76
  6. Step 6: Final answer
    x = 342,597.80

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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.