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Finding the Fourth Proportional to 463,787.70, 695,397.24 and 197,396.52

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Solution

The fourth proportional to 463,787.70, 695,397.24 and 197,396.52 is: 295,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,787.70 : 695,397.24 = 197,396.52 : x
  2. Step 2: Convert to fraction form
    463,787.70/695,397.24 = 197,396.52/x
  3. Step 3: Cross multiply
    463,787.70x = 695,397.24 × 197,396.52
  4. Step 4: Simplify right side
    463,787.70x = 137,268,995,193.61
  5. Step 5: Solve for x
    x = 137,268,995,193.61/463,787.70
  6. Step 6: Final answer
    x = 295,973.77

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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.