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Finding the Fourth Proportional to 337,643.10, 506,464.65 and 137,832.30

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Solution

The fourth proportional to 337,643.10, 506,464.65 and 137,832.30 is: 206,748.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,643.10 : 506,464.65 = 137,832.30 : x
  2. Step 2: Convert to fraction form
    337,643.10/506,464.65 = 137,832.30/x
  3. Step 3: Cross multiply
    337,643.10x = 506,464.65 × 137,832.30
  4. Step 4: Simplify right side
    337,643.10x = 69,807,187,578.20
  5. Step 5: Solve for x
    x = 69,807,187,578.20/337,643.10
  6. Step 6: Final answer
    x = 206,748.45

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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.