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Finding the Fourth Proportional to 467,698.43, 645,408.11 and 295,708.97

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Solution

The fourth proportional to 467,698.43, 645,408.11 and 295,708.97 is: 408,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,698.43 : 645,408.11 = 295,708.97 : x
  2. Step 2: Convert to fraction form
    467,698.43/645,408.11 = 295,708.97/x
  3. Step 3: Cross multiply
    467,698.43x = 645,408.11 × 295,708.97
  4. Step 4: Simplify right side
    467,698.43x = 190,852,962,732.16
  5. Step 5: Solve for x
    x = 190,852,962,732.16/467,698.43
  6. Step 6: Final answer
    x = 408,068.43

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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.