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Finding the Fourth Proportional to 463,880.97, 695,956.32 and 194,136.39

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Solution

The fourth proportional to 463,880.97, 695,956.32 and 194,136.39 is: 291,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,880.97 : 695,956.32 = 194,136.39 : x
  2. Step 2: Convert to fraction form
    463,880.97/695,956.32 = 194,136.39/x
  3. Step 3: Cross multiply
    463,880.97x = 695,956.32 × 194,136.39
  4. Step 4: Simplify right side
    463,880.97x = 135,110,447,562.49
  5. Step 5: Solve for x
    x = 135,110,447,562.49/463,880.97
  6. Step 6: Final answer
    x = 291,261.03

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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.