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Finding the Fourth Proportional to 291,228.49, 402,019.30 and 195,790.53

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Solution

The fourth proportional to 291,228.49, 402,019.30 and 195,790.53 is: 270,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228.49 : 402,019.30 = 195,790.53 : x
  2. Step 2: Convert to fraction form
    291,228.49/402,019.30 = 195,790.53/x
  3. Step 3: Cross multiply
    291,228.49x = 402,019.30 × 195,790.53
  4. Step 4: Simplify right side
    291,228.49x = 78,711,571,817.23
  5. Step 5: Solve for x
    x = 78,711,571,817.23/291,228.49
  6. Step 6: Final answer
    x = 270,274.28

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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.