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Finding the Fourth Proportional to 357,759.54, 493,706.57 and 204,796.89

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Solution

The fourth proportional to 357,759.54, 493,706.57 and 204,796.89 is: 282,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,759.54 : 493,706.57 = 204,796.89 : x
  2. Step 2: Convert to fraction form
    357,759.54/493,706.57 = 204,796.89/x
  3. Step 3: Cross multiply
    357,759.54x = 493,706.57 × 204,796.89
  4. Step 4: Simplify right side
    357,759.54x = 101,109,569,084.58
  5. Step 5: Solve for x
    x = 101,109,569,084.58/357,759.54
  6. Step 6: Final answer
    x = 282,618.79

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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.