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Finding the Fourth Proportional to 291,230.42, 402,022 and 195,792.48

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Solution

The fourth proportional to 291,230.42, 402,022 and 195,792.48 is: 270,277.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,230.42 : 402,022 = 195,792.48 : x
  2. Step 2: Convert to fraction form
    291,230.42/402,022 = 195,792.48/x
  3. Step 3: Cross multiply
    291,230.42x = 402,022 × 195,792.48
  4. Step 4: Simplify right side
    291,230.42x = 78,712,884,394.56
  5. Step 5: Solve for x
    x = 78,712,884,394.56/291,230.42
  6. Step 6: Final answer
    x = 270,277.00

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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.