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Finding the Fourth Proportional to 474,426.23, 654,709.77 and 259,565.63

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Solution

The fourth proportional to 474,426.23, 654,709.77 and 259,565.63 is: 358,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,426.23 : 654,709.77 = 259,565.63 : x
  2. Step 2: Convert to fraction form
    474,426.23/654,709.77 = 259,565.63/x
  3. Step 3: Cross multiply
    474,426.23x = 654,709.77 × 259,565.63
  4. Step 4: Simplify right side
    474,426.23x = 169,940,150,643.66
  5. Step 5: Solve for x
    x = 169,940,150,643.66/474,426.23
  6. Step 6: Final answer
    x = 358,201.43

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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.