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Finding the Fourth Proportional to 643,715.67, 965,663.73 and 194,385.60

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Solution

The fourth proportional to 643,715.67, 965,663.73 and 194,385.60 is: 291,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,715.67 : 965,663.73 = 194,385.60 : x
  2. Step 2: Convert to fraction form
    643,715.67/965,663.73 = 194,385.60/x
  3. Step 3: Cross multiply
    643,715.67x = 965,663.73 × 194,385.60
  4. Step 4: Simplify right side
    643,715.67x = 187,711,123,554.29
  5. Step 5: Solve for x
    x = 187,711,123,554.29/643,715.67
  6. Step 6: Final answer
    x = 291,605.65

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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.