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Finding the Fourth Proportional to 457,832.25, 686,846.79 and 154,256.58

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Solution

The fourth proportional to 457,832.25, 686,846.79 and 154,256.58 is: 231,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,832.25 : 686,846.79 = 154,256.58 : x
  2. Step 2: Convert to fraction form
    457,832.25/686,846.79 = 154,256.58/x
  3. Step 3: Cross multiply
    457,832.25x = 686,846.79 × 154,256.58
  4. Step 4: Simplify right side
    457,832.25x = 105,950,636,809.38
  5. Step 5: Solve for x
    x = 105,950,636,809.38/457,832.25
  6. Step 6: Final answer
    x = 231,418.03

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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.