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Finding the Fourth Proportional to 356,951.13, 492,592.56 and 206,048.13

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Solution

The fourth proportional to 356,951.13, 492,592.56 and 206,048.13 is: 284,346.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,951.13 : 492,592.56 = 206,048.13 : x
  2. Step 2: Convert to fraction form
    356,951.13/492,592.56 = 206,048.13/x
  3. Step 3: Cross multiply
    356,951.13x = 492,592.56 × 206,048.13
  4. Step 4: Simplify right side
    356,951.13x = 101,497,772,346.71
  5. Step 5: Solve for x
    x = 101,497,772,346.71/356,951.13
  6. Step 6: Final answer
    x = 284,346.41

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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.