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Finding the Fourth Proportional to 343,464.73, 514,546.82 and 229,268.21

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Solution

The fourth proportional to 343,464.73, 514,546.82 and 229,268.21 is: 343,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,464.73 : 514,546.82 = 229,268.21 : x
  2. Step 2: Convert to fraction form
    343,464.73/514,546.82 = 229,268.21/x
  3. Step 3: Cross multiply
    343,464.73x = 514,546.82 × 229,268.21
  4. Step 4: Simplify right side
    343,464.73x = 117,969,224,663.52
  5. Step 5: Solve for x
    x = 117,969,224,663.52/343,464.73
  6. Step 6: Final answer
    x = 343,468.24

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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.