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Finding the Fourth Proportional to 402,499.20, 603,821.70 and 202,315.80

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Solution

The fourth proportional to 402,499.20, 603,821.70 and 202,315.80 is: 303,510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,499.20 : 603,821.70 = 202,315.80 : x
  2. Step 2: Convert to fraction form
    402,499.20/603,821.70 = 202,315.80/x
  3. Step 3: Cross multiply
    402,499.20x = 603,821.70 × 202,315.80
  4. Step 4: Simplify right side
    402,499.20x = 122,162,670,292.86
  5. Step 5: Solve for x
    x = 122,162,670,292.86/402,499.20
  6. Step 6: Final answer
    x = 303,510.34

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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.