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Finding the Fourth Proportional to 422,471.50, 583,010.67 and 231,492.14

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Solution

The fourth proportional to 422,471.50, 583,010.67 and 231,492.14 is: 319,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,471.50 : 583,010.67 = 231,492.14 : x
  2. Step 2: Convert to fraction form
    422,471.50/583,010.67 = 231,492.14/x
  3. Step 3: Cross multiply
    422,471.50x = 583,010.67 × 231,492.14
  4. Step 4: Simplify right side
    422,471.50x = 134,962,387,641.13
  5. Step 5: Solve for x
    x = 134,962,387,641.13/422,471.50
  6. Step 6: Final answer
    x = 319,459.15

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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.