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Finding the Fourth Proportional to 431,380.20, 647,070.30 and 401,855.70

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Solution

The fourth proportional to 431,380.20, 647,070.30 and 401,855.70 is: 602,783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,380.20 : 647,070.30 = 401,855.70 : x
  2. Step 2: Convert to fraction form
    431,380.20/647,070.30 = 401,855.70/x
  3. Step 3: Cross multiply
    431,380.20x = 647,070.30 × 401,855.70
  4. Step 4: Simplify right side
    431,380.20x = 260,028,888,355.71
  5. Step 5: Solve for x
    x = 260,028,888,355.71/431,380.20
  6. Step 6: Final answer
    x = 602,783.55

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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.