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Finding the Fourth Proportional to 422,264.94, 633,630.69 and 172,927.50

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Solution

The fourth proportional to 422,264.94, 633,630.69 and 172,927.50 is: 259,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,264.94 : 633,630.69 = 172,927.50 : x
  2. Step 2: Convert to fraction form
    422,264.94/633,630.69 = 172,927.50/x
  3. Step 3: Cross multiply
    422,264.94x = 633,630.69 × 172,927.50
  4. Step 4: Simplify right side
    422,264.94x = 109,572,171,144.98
  5. Step 5: Solve for x
    x = 109,572,171,144.98/422,264.94
  6. Step 6: Final answer
    x = 259,486.78

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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.