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Finding the Fourth Proportional to 329,957.92, 494,714.64 and 152,367.04

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Solution

The fourth proportional to 329,957.92, 494,714.64 and 152,367.04 is: 228,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,957.92 : 494,714.64 = 152,367.04 : x
  2. Step 2: Convert to fraction form
    329,957.92/494,714.64 = 152,367.04/x
  3. Step 3: Cross multiply
    329,957.92x = 494,714.64 × 152,367.04
  4. Step 4: Simplify right side
    329,957.92x = 75,378,205,341.47
  5. Step 5: Solve for x
    x = 75,378,205,341.47/329,957.92
  6. Step 6: Final answer
    x = 228,447.93

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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.