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Finding the Fourth Proportional to 644,809.60, 966,922.80 and 289,640.80

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Solution

The fourth proportional to 644,809.60, 966,922.80 and 289,640.80 is: 434,330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,809.60 : 966,922.80 = 289,640.80 : x
  2. Step 2: Convert to fraction form
    644,809.60/966,922.80 = 289,640.80/x
  3. Step 3: Cross multiply
    644,809.60x = 966,922.80 × 289,640.80
  4. Step 4: Simplify right side
    644,809.60x = 280,060,293,330.24
  5. Step 5: Solve for x
    x = 280,060,293,330.24/644,809.60
  6. Step 6: Final answer
    x = 434,330.22

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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.