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Finding the Fourth Proportional to 329,051.98, 493,578.07 and 118,689.92

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Solution

The fourth proportional to 329,051.98, 493,578.07 and 118,689.92 is: 178,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,051.98 : 493,578.07 = 118,689.92 : x
  2. Step 2: Convert to fraction form
    329,051.98/493,578.07 = 118,689.92/x
  3. Step 3: Cross multiply
    329,051.98x = 493,578.07 × 118,689.92
  4. Step 4: Simplify right side
    329,051.98x = 58,582,738,877.44
  5. Step 5: Solve for x
    x = 58,582,738,877.44/329,051.98
  6. Step 6: Final answer
    x = 178,034.91

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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.