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Finding the Fourth Proportional to 463,881.97, 695,957.82 and 194,137.39

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Solution

The fourth proportional to 463,881.97, 695,957.82 and 194,137.39 is: 291,262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,881.97 : 695,957.82 = 194,137.39 : x
  2. Step 2: Convert to fraction form
    463,881.97/695,957.82 = 194,137.39/x
  3. Step 3: Cross multiply
    463,881.97x = 695,957.82 × 194,137.39
  4. Step 4: Simplify right side
    463,881.97x = 135,111,434,724.89
  5. Step 5: Solve for x
    x = 135,111,434,724.89/463,881.97
  6. Step 6: Final answer
    x = 291,262.53

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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.