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Finding the Fourth Proportional to 353,898.34, 488,382.87 and 192,754.12

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Solution

The fourth proportional to 353,898.34, 488,382.87 and 192,754.12 is: 266,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,898.34 : 488,382.87 = 192,754.12 : x
  2. Step 2: Convert to fraction form
    353,898.34/488,382.87 = 192,754.12/x
  3. Step 3: Cross multiply
    353,898.34x = 488,382.87 × 192,754.12
  4. Step 4: Simplify right side
    353,898.34x = 94,137,810,329.92
  5. Step 5: Solve for x
    x = 94,137,810,329.92/353,898.34
  6. Step 6: Final answer
    x = 266,002.41

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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.