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Finding the Fourth Proportional to 431,784.84, 647,684.82 and 165,560.52

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Solution

The fourth proportional to 431,784.84, 647,684.82 and 165,560.52 is: 248,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,784.84 : 647,684.82 = 165,560.52 : x
  2. Step 2: Convert to fraction form
    431,784.84/647,684.82 = 165,560.52/x
  3. Step 3: Cross multiply
    431,784.84x = 647,684.82 × 165,560.52
  4. Step 4: Simplify right side
    431,784.84x = 107,231,035,595.31
  5. Step 5: Solve for x
    x = 107,231,035,595.31/431,784.84
  6. Step 6: Final answer
    x = 248,343.68

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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.