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Finding the Fourth Proportional to 518,622.80, 777,934.20 and 431,142.80

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Solution

The fourth proportional to 518,622.80, 777,934.20 and 431,142.80 is: 646,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,622.80 : 777,934.20 = 431,142.80 : x
  2. Step 2: Convert to fraction form
    518,622.80/777,934.20 = 431,142.80/x
  3. Step 3: Cross multiply
    518,622.80x = 777,934.20 × 431,142.80
  4. Step 4: Simplify right side
    518,622.80x = 335,400,729,203.76
  5. Step 5: Solve for x
    x = 335,400,729,203.76/518,622.80
  6. Step 6: Final answer
    x = 646,714.20

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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.