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Finding the Fourth Proportional to 290,142.05, 431,702.78 and 282,910.37

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Solution

The fourth proportional to 290,142.05, 431,702.78 and 282,910.37 is: 420,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,142.05 : 431,702.78 = 282,910.37 : x
  2. Step 2: Convert to fraction form
    290,142.05/431,702.78 = 282,910.37/x
  3. Step 3: Cross multiply
    290,142.05x = 431,702.78 × 282,910.37
  4. Step 4: Simplify right side
    290,142.05x = 122,133,189,646.76
  5. Step 5: Solve for x
    x = 122,133,189,646.76/290,142.05
  6. Step 6: Final answer
    x = 420,942.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.