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Finding the Fourth Proportional to 445,411.40, 668,165.70 and 431,414.60

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Solution

The fourth proportional to 445,411.40, 668,165.70 and 431,414.60 is: 647,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,411.40 : 668,165.70 = 431,414.60 : x
  2. Step 2: Convert to fraction form
    445,411.40/668,165.70 = 431,414.60/x
  3. Step 3: Cross multiply
    445,411.40x = 668,165.70 × 431,414.60
  4. Step 4: Simplify right side
    445,411.40x = 288,256,438,199.22
  5. Step 5: Solve for x
    x = 288,256,438,199.22/445,411.40
  6. Step 6: Final answer
    x = 647,168.97

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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.