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Finding the Fourth Proportional to 422,383.72, 633,670.14 and 141,893.32

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Solution

The fourth proportional to 422,383.72, 633,670.14 and 141,893.32 is: 212,871.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,383.72 : 633,670.14 = 141,893.32 : x
  2. Step 2: Convert to fraction form
    422,383.72/633,670.14 = 141,893.32/x
  3. Step 3: Cross multiply
    422,383.72x = 633,670.14 × 141,893.32
  4. Step 4: Simplify right side
    422,383.72x = 89,913,559,949.46
  5. Step 5: Solve for x
    x = 89,913,559,949.46/422,383.72
  6. Step 6: Final answer
    x = 212,871.75

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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.