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Finding the Fourth Proportional to 506,906.84, 699,687.24 and 292,190.42

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Solution

The fourth proportional to 506,906.84, 699,687.24 and 292,190.42 is: 403,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,906.84 : 699,687.24 = 292,190.42 : x
  2. Step 2: Convert to fraction form
    506,906.84/699,687.24 = 292,190.42/x
  3. Step 3: Cross multiply
    506,906.84x = 699,687.24 × 292,190.42
  4. Step 4: Simplify right side
    506,906.84x = 204,441,908,524.24
  5. Step 5: Solve for x
    x = 204,441,908,524.24/506,906.84
  6. Step 6: Final answer
    x = 403,312.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.