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Finding the Fourth Proportional to 329,808.32, 494,706.72 and 105,165.44

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Solution

The fourth proportional to 329,808.32, 494,706.72 and 105,165.44 is: 157,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,808.32 : 494,706.72 = 105,165.44 : x
  2. Step 2: Convert to fraction form
    329,808.32/494,706.72 = 105,165.44/x
  3. Step 3: Cross multiply
    329,808.32x = 494,706.72 × 105,165.44
  4. Step 4: Simplify right side
    329,808.32x = 52,026,049,879.76
  5. Step 5: Solve for x
    x = 52,026,049,879.76/329,808.32
  6. Step 6: Final answer
    x = 157,746.32

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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.