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Finding the Fourth Proportional to 644,237.40, 966,465.45 and 194,954.70

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Solution

The fourth proportional to 644,237.40, 966,465.45 and 194,954.70 is: 292,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,237.40 : 966,465.45 = 194,954.70 : x
  2. Step 2: Convert to fraction form
    644,237.40/966,465.45 = 194,954.70/x
  3. Step 3: Cross multiply
    644,237.40x = 966,465.45 × 194,954.70
  4. Step 4: Simplify right side
    644,237.40x = 188,416,981,865.12
  5. Step 5: Solve for x
    x = 188,416,981,865.12/644,237.40
  6. Step 6: Final answer
    x = 292,465.14

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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.