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Finding the Fourth Proportional to 291,220.17, 402,007.83 and 195,782.24

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Solution

The fourth proportional to 291,220.17, 402,007.83 and 195,782.24 is: 270,262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,220.17 : 402,007.83 = 195,782.24 : x
  2. Step 2: Convert to fraction form
    291,220.17/402,007.83 = 195,782.24/x
  3. Step 3: Cross multiply
    291,220.17x = 402,007.83 × 195,782.24
  4. Step 4: Simplify right side
    291,220.17x = 78,705,991,444.90
  5. Step 5: Solve for x
    x = 78,705,991,444.90/291,220.17
  6. Step 6: Final answer
    x = 270,262.84

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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.