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Finding the Fourth Proportional to 471,464.64, 650,620.80 and 256,604.40

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Solution

The fourth proportional to 471,464.64, 650,620.80 and 256,604.40 is: 354,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,464.64 : 650,620.80 = 256,604.40 : x
  2. Step 2: Convert to fraction form
    471,464.64/650,620.80 = 256,604.40/x
  3. Step 3: Cross multiply
    471,464.64x = 650,620.80 × 256,604.40
  4. Step 4: Simplify right side
    471,464.64x = 166,952,160,011.52
  5. Step 5: Solve for x
    x = 166,952,160,011.52/471,464.64
  6. Step 6: Final answer
    x = 354,113.85

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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.