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Finding the Fourth Proportional to 431,570.70, 647,356.05 and 389,580.30

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Solution

The fourth proportional to 431,570.70, 647,356.05 and 389,580.30 is: 584,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,570.70 : 647,356.05 = 389,580.30 : x
  2. Step 2: Convert to fraction form
    431,570.70/647,356.05 = 389,580.30/x
  3. Step 3: Cross multiply
    431,570.70x = 647,356.05 × 389,580.30
  4. Step 4: Simplify right side
    431,570.70x = 252,197,164,165.82
  5. Step 5: Solve for x
    x = 252,197,164,165.82/431,570.70
  6. Step 6: Final answer
    x = 584,370.45

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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.