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Finding the Fourth Proportional to 667,268.64, 920,833.22 and 361,345.16

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Solution

The fourth proportional to 667,268.64, 920,833.22 and 361,345.16 is: 498,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,268.64 : 920,833.22 = 361,345.16 : x
  2. Step 2: Convert to fraction form
    667,268.64/920,833.22 = 361,345.16/x
  3. Step 3: Cross multiply
    667,268.64x = 920,833.22 × 361,345.16
  4. Step 4: Simplify right side
    667,268.64x = 332,738,627,214.22
  5. Step 5: Solve for x
    x = 332,738,627,214.22/667,268.64
  6. Step 6: Final answer
    x = 498,657.67

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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.