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Finding the Fourth Proportional to 471,261.35, 650,356.86 and 256,409.57

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Solution

The fourth proportional to 471,261.35, 650,356.86 and 256,409.57 is: 353,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,261.35 : 650,356.86 = 256,409.57 : x
  2. Step 2: Convert to fraction form
    471,261.35/650,356.86 = 256,409.57/x
  3. Step 3: Cross multiply
    471,261.35x = 650,356.86 × 256,409.57
  4. Step 4: Simplify right side
    471,261.35x = 166,757,719,567.37
  5. Step 5: Solve for x
    x = 166,757,719,567.37/471,261.35
  6. Step 6: Final answer
    x = 353,854.02

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1.5x scale

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.