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Finding the Fourth Proportional to 389,491.20, 584,467.20 and 140,140.80

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Solution

The fourth proportional to 389,491.20, 584,467.20 and 140,140.80 is: 210,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,491.20 : 584,467.20 = 140,140.80 : x
  2. Step 2: Convert to fraction form
    389,491.20/584,467.20 = 140,140.80/x
  3. Step 3: Cross multiply
    389,491.20x = 584,467.20 × 140,140.80
  4. Step 4: Simplify right side
    389,491.20x = 81,907,700,981.76
  5. Step 5: Solve for x
    x = 81,907,700,981.76/389,491.20
  6. Step 6: Final answer
    x = 210,294.10

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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.