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Finding the Fourth Proportional to 422,967.08, 583,710.94 and 231,988.52

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Solution

The fourth proportional to 422,967.08, 583,710.94 and 231,988.52 is: 320,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,967.08 : 583,710.94 = 231,988.52 : x
  2. Step 2: Convert to fraction form
    422,967.08/583,710.94 = 231,988.52/x
  3. Step 3: Cross multiply
    422,967.08x = 583,710.94 × 231,988.52
  4. Step 4: Simplify right side
    422,967.08x = 135,414,237,078.41
  5. Step 5: Solve for x
    x = 135,414,237,078.41/422,967.08
  6. Step 6: Final answer
    x = 320,153.14

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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.