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Finding the Fourth Proportional to 557,846.31, 769,832.60 and 303,197.43

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Solution

The fourth proportional to 557,846.31, 769,832.60 and 303,197.43 is: 418,415.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,846.31 : 769,832.60 = 303,197.43 : x
  2. Step 2: Convert to fraction form
    557,846.31/769,832.60 = 303,197.43/x
  3. Step 3: Cross multiply
    557,846.31x = 769,832.60 × 303,197.43
  4. Step 4: Simplify right side
    557,846.31x = 233,411,264,334.23
  5. Step 5: Solve for x
    x = 233,411,264,334.23/557,846.31
  6. Step 6: Final answer
    x = 418,415.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.