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Finding the Fourth Proportional to 366,654.84, 550,824.31 and 258,832.14

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Solution

The fourth proportional to 366,654.84, 550,824.31 and 258,832.14 is: 388,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,654.84 : 550,824.31 = 258,832.14 : x
  2. Step 2: Convert to fraction form
    366,654.84/550,824.31 = 258,832.14/x
  3. Step 3: Cross multiply
    366,654.84x = 550,824.31 × 258,832.14
  4. Step 4: Simplify right side
    366,654.84x = 142,571,033,627.16
  5. Step 5: Solve for x
    x = 142,571,033,627.16/366,654.84
  6. Step 6: Final answer
    x = 388,842.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.