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Finding the Fourth Proportional to 643,717.67, 965,666.73 and 194,387.60

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Solution

The fourth proportional to 643,717.67, 965,666.73 and 194,387.60 is: 291,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,717.67 : 965,666.73 = 194,387.60 : x
  2. Step 2: Convert to fraction form
    643,717.67/965,666.73 = 194,387.60/x
  3. Step 3: Cross multiply
    643,717.67x = 965,666.73 × 194,387.60
  4. Step 4: Simplify right side
    643,717.67x = 187,713,638,044.55
  5. Step 5: Solve for x
    x = 187,713,638,044.55/643,717.67
  6. Step 6: Final answer
    x = 291,608.65

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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.