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Finding the Fourth Proportional to 842,659.32, 1,162,873.86 and 460,686

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Solution

The fourth proportional to 842,659.32, 1,162,873.86 and 460,686 is: 635,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,659.32 : 1,162,873.86 = 460,686 : x
  2. Step 2: Convert to fraction form
    842,659.32/1,162,873.86 = 460,686/x
  3. Step 3: Cross multiply
    842,659.32x = 1,162,873.86 × 460,686
  4. Step 4: Simplify right side
    842,659.32x = 535,719,707,067.96
  5. Step 5: Solve for x
    x = 535,719,707,067.96/842,659.32
  6. Step 6: Final answer
    x = 635,748.87

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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.