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Finding the Fourth Proportional to 402,484.20, 603,799.20 and 202,300.80

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Solution

The fourth proportional to 402,484.20, 603,799.20 and 202,300.80 is: 303,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,484.20 : 603,799.20 = 202,300.80 : x
  2. Step 2: Convert to fraction form
    402,484.20/603,799.20 = 202,300.80/x
  3. Step 3: Cross multiply
    402,484.20x = 603,799.20 × 202,300.80
  4. Step 4: Simplify right side
    402,484.20x = 122,149,061,199.36
  5. Step 5: Solve for x
    x = 122,149,061,199.36/402,484.20
  6. Step 6: Final answer
    x = 303,487.84

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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.