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Finding the Fourth Proportional to 291,268.94, 402,075.50 and 195,831

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Solution

The fourth proportional to 291,268.94, 402,075.50 and 195,831 is: 270,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,268.94 : 402,075.50 = 195,831 : x
  2. Step 2: Convert to fraction form
    291,268.94/402,075.50 = 195,831/x
  3. Step 3: Cross multiply
    291,268.94x = 402,075.50 × 195,831
  4. Step 4: Simplify right side
    291,268.94x = 78,738,846,261.35
  5. Step 5: Solve for x
    x = 78,738,846,261.35/291,268.94
  6. Step 6: Final answer
    x = 270,330.40

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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.