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Finding the Fourth Proportional to 408,533.20, 611,590.20 and 303,816.40

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Solution

The fourth proportional to 408,533.20, 611,590.20 and 303,816.40 is: 454,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,533.20 : 611,590.20 = 303,816.40 : x
  2. Step 2: Convert to fraction form
    408,533.20/611,590.20 = 303,816.40/x
  3. Step 3: Cross multiply
    408,533.20x = 611,590.20 × 303,816.40
  4. Step 4: Simplify right side
    408,533.20x = 185,811,132,839.28
  5. Step 5: Solve for x
    x = 185,811,132,839.28/408,533.20
  6. Step 6: Final answer
    x = 454,825.05

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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.