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Finding the Fourth Proportional to 305,524.10, 421,813.45 and 286,460.30

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Solution

The fourth proportional to 305,524.10, 421,813.45 and 286,460.30 is: 395,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,524.10 : 421,813.45 = 286,460.30 : x
  2. Step 2: Convert to fraction form
    305,524.10/421,813.45 = 286,460.30/x
  3. Step 3: Cross multiply
    305,524.10x = 421,813.45 × 286,460.30
  4. Step 4: Simplify right side
    305,524.10x = 120,832,805,665.27
  5. Step 5: Solve for x
    x = 120,832,805,665.27/305,524.10
  6. Step 6: Final answer
    x = 395,493.53

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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.