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Finding the Fourth Proportional to 402,285.20, 603,816.60 and 202,830.80

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Solution

The fourth proportional to 402,285.20, 603,816.60 and 202,830.80 is: 304,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,285.20 : 603,816.60 = 202,830.80 : x
  2. Step 2: Convert to fraction form
    402,285.20/603,816.60 = 202,830.80/x
  3. Step 3: Cross multiply
    402,285.20x = 603,816.60 × 202,830.80
  4. Step 4: Simplify right side
    402,285.20x = 122,472,604,031.28
  5. Step 5: Solve for x
    x = 122,472,604,031.28/402,285.20
  6. Step 6: Final answer
    x = 304,442.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.