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Finding the Fourth Proportional to 471,426, 650,567.88 and 270,338.64

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Solution

The fourth proportional to 471,426, 650,567.88 and 270,338.64 is: 373,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,426 : 650,567.88 = 270,338.64 : x
  2. Step 2: Convert to fraction form
    471,426/650,567.88 = 270,338.64/x
  3. Step 3: Cross multiply
    471,426x = 650,567.88 × 270,338.64
  4. Step 4: Simplify right side
    471,426x = 175,873,635,906.88
  5. Step 5: Solve for x
    x = 175,873,635,906.88/471,426
  6. Step 6: Final answer
    x = 373,067.32

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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.