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Finding the Fourth Proportional to 471,268.23, 650,330.72 and 256,409.15

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Solution

The fourth proportional to 471,268.23, 650,330.72 and 256,409.15 is: 353,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,268.23 : 650,330.72 = 256,409.15 : x
  2. Step 2: Convert to fraction form
    471,268.23/650,330.72 = 256,409.15/x
  3. Step 3: Cross multiply
    471,268.23x = 650,330.72 × 256,409.15
  4. Step 4: Simplify right side
    471,268.23x = 166,750,743,561.92
  5. Step 5: Solve for x
    x = 166,750,743,561.92/471,268.23
  6. Step 6: Final answer
    x = 353,834.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.