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Finding the Fourth Proportional to 431,396.20, 647,094.30 and 406,901.80

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Solution

The fourth proportional to 431,396.20, 647,094.30 and 406,901.80 is: 610,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,396.20 : 647,094.30 = 406,901.80 : x
  2. Step 2: Convert to fraction form
    431,396.20/647,094.30 = 406,901.80/x
  3. Step 3: Cross multiply
    431,396.20x = 647,094.30 × 406,901.80
  4. Step 4: Simplify right side
    431,396.20x = 263,303,835,439.74
  5. Step 5: Solve for x
    x = 263,303,835,439.74/431,396.20
  6. Step 6: Final answer
    x = 610,352.70

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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.