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Finding the Fourth Proportional to 357,295.68, 493,072.38 and 204,331.50

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Solution

The fourth proportional to 357,295.68, 493,072.38 and 204,331.50 is: 281,979.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,295.68 : 493,072.38 = 204,331.50 : x
  2. Step 2: Convert to fraction form
    357,295.68/493,072.38 = 204,331.50/x
  3. Step 3: Cross multiply
    357,295.68x = 493,072.38 × 204,331.50
  4. Step 4: Simplify right side
    357,295.68x = 100,750,219,013.97
  5. Step 5: Solve for x
    x = 100,750,219,013.97/357,295.68
  6. Step 6: Final answer
    x = 281,979.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.