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Finding the Fourth Proportional to 329,537.22, 493,124.85 and 285,316.62

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Solution

The fourth proportional to 329,537.22, 493,124.85 and 285,316.62 is: 426,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,537.22 : 493,124.85 = 285,316.62 : x
  2. Step 2: Convert to fraction form
    329,537.22/493,124.85 = 285,316.62/x
  3. Step 3: Cross multiply
    329,537.22x = 493,124.85 × 285,316.62
  4. Step 4: Simplify right side
    329,537.22x = 140,696,715,440.01
  5. Step 5: Solve for x
    x = 140,696,715,440.01/329,537.22
  6. Step 6: Final answer
    x = 426,952.43

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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.