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Finding the Fourth Proportional to 422,309.64, 633,557.90 and 232,672.36

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Solution

The fourth proportional to 422,309.64, 633,557.90 and 232,672.36 is: 349,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,309.64 : 633,557.90 = 232,672.36 : x
  2. Step 2: Convert to fraction form
    422,309.64/633,557.90 = 232,672.36/x
  3. Step 3: Cross multiply
    422,309.64x = 633,557.90 × 232,672.36
  4. Step 4: Simplify right side
    422,309.64x = 147,411,411,789.64
  5. Step 5: Solve for x
    x = 147,411,411,789.64/422,309.64
  6. Step 6: Final answer
    x = 349,060.02

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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.