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Finding the Fourth Proportional to 471,523.12, 650,716.48 and 256,677.60

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Solution

The fourth proportional to 471,523.12, 650,716.48 and 256,677.60 is: 354,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,523.12 : 650,716.48 = 256,677.60 : x
  2. Step 2: Convert to fraction form
    471,523.12/650,716.48 = 256,677.60/x
  3. Step 3: Cross multiply
    471,523.12x = 650,716.48 × 256,677.60
  4. Step 4: Simplify right side
    471,523.12x = 167,024,344,366.85
  5. Step 5: Solve for x
    x = 167,024,344,366.85/471,523.12
  6. Step 6: Final answer
    x = 354,223.02

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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.