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Finding the Fourth Proportional to 465,392.94, 642,250.92 and 258,680.69

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Solution

The fourth proportional to 465,392.94, 642,250.92 and 258,680.69 is: 356,984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,392.94 : 642,250.92 = 258,680.69 : x
  2. Step 2: Convert to fraction form
    465,392.94/642,250.92 = 258,680.69/x
  3. Step 3: Cross multiply
    465,392.94x = 642,250.92 × 258,680.69
  4. Step 4: Simplify right side
    465,392.94x = 166,137,911,305.97
  5. Step 5: Solve for x
    x = 166,137,911,305.97/465,392.94
  6. Step 6: Final answer
    x = 356,984.17

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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.