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Finding the Fourth Proportional to 357,696.24, 493,591.92 and 206,802.96

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Solution

The fourth proportional to 357,696.24, 493,591.92 and 206,802.96 is: 285,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,696.24 : 493,591.92 = 206,802.96 : x
  2. Step 2: Convert to fraction form
    357,696.24/493,591.92 = 206,802.96/x
  3. Step 3: Cross multiply
    357,696.24x = 493,591.92 × 206,802.96
  4. Step 4: Simplify right side
    357,696.24x = 102,076,270,088.08
  5. Step 5: Solve for x
    x = 102,076,270,088.08/357,696.24
  6. Step 6: Final answer
    x = 285,371.38

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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.