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Finding the Fourth Proportional to 329,032.74, 493,733.56 and 179,283.44

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Solution

The fourth proportional to 329,032.74, 493,733.56 and 179,283.44 is: 269,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,032.74 : 493,733.56 = 179,283.44 : x
  2. Step 2: Convert to fraction form
    329,032.74/493,733.56 = 179,283.44/x
  3. Step 3: Cross multiply
    329,032.74x = 493,733.56 × 179,283.44
  4. Step 4: Simplify right side
    329,032.74x = 88,518,251,080.25
  5. Step 5: Solve for x
    x = 88,518,251,080.25/329,032.74
  6. Step 6: Final answer
    x = 269,025.66

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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.