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Finding the Fourth Proportional to 329,014.50, 493,521.74 and 118,652.43

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Solution

The fourth proportional to 329,014.50, 493,521.74 and 118,652.43 is: 177,978.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,014.50 : 493,521.74 = 118,652.43 : x
  2. Step 2: Convert to fraction form
    329,014.50/493,521.74 = 118,652.43/x
  3. Step 3: Cross multiply
    329,014.50x = 493,521.74 × 118,652.43
  4. Step 4: Simplify right side
    329,014.50x = 58,557,553,708.83
  5. Step 5: Solve for x
    x = 58,557,553,708.83/329,014.50
  6. Step 6: Final answer
    x = 177,978.64

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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.