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Finding the Fourth Proportional to 644,929.60, 967,102.80 and 289,760.80

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Solution

The fourth proportional to 644,929.60, 967,102.80 and 289,760.80 is: 434,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,929.60 : 967,102.80 = 289,760.80 : x
  2. Step 2: Convert to fraction form
    644,929.60/967,102.80 = 289,760.80/x
  3. Step 3: Cross multiply
    644,929.60x = 967,102.80 × 289,760.80
  4. Step 4: Simplify right side
    644,929.60x = 280,228,481,010.24
  5. Step 5: Solve for x
    x = 280,228,481,010.24/644,929.60
  6. Step 6: Final answer
    x = 434,510.19

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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.