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Finding the Fourth Proportional to 431,382.70, 647,074.05 and 401,858.20

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Solution

The fourth proportional to 431,382.70, 647,074.05 and 401,858.20 is: 602,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,382.70 : 647,074.05 = 401,858.20 : x
  2. Step 2: Convert to fraction form
    431,382.70/647,074.05 = 401,858.20/x
  3. Step 3: Cross multiply
    431,382.70x = 647,074.05 × 401,858.20
  4. Step 4: Simplify right side
    431,382.70x = 260,032,012,999.71
  5. Step 5: Solve for x
    x = 260,032,012,999.71/431,382.70
  6. Step 6: Final answer
    x = 602,787.30

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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.