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Finding the Fourth Proportional to 431,787.60, 647,374.20 and 165,445.20

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Solution

The fourth proportional to 431,787.60, 647,374.20 and 165,445.20 is: 248,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,787.60 : 647,374.20 = 165,445.20 : x
  2. Step 2: Convert to fraction form
    431,787.60/647,374.20 = 165,445.20/x
  3. Step 3: Cross multiply
    431,787.60x = 647,374.20 × 165,445.20
  4. Step 4: Simplify right side
    431,787.60x = 107,104,953,993.84
  5. Step 5: Solve for x
    x = 107,104,953,993.84/431,787.60
  6. Step 6: Final answer
    x = 248,050.09

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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.