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Finding the Fourth Proportional to 681,704.76, 942,453.24 and 511,643.64

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Solution

The fourth proportional to 681,704.76, 942,453.24 and 511,643.64 is: 707,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,704.76 : 942,453.24 = 511,643.64 : x
  2. Step 2: Convert to fraction form
    681,704.76/942,453.24 = 511,643.64/x
  3. Step 3: Cross multiply
    681,704.76x = 942,453.24 × 511,643.64
  4. Step 4: Simplify right side
    681,704.76x = 482,200,206,243.39
  5. Step 5: Solve for x
    x = 482,200,206,243.39/681,704.76
  6. Step 6: Final answer
    x = 707,344.64

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Double scale
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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.