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Finding the Fourth Proportional to 422,971.04, 583,698.48 and 261,794

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Solution

The fourth proportional to 422,971.04, 583,698.48 and 261,794 is: 361,274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,971.04 : 583,698.48 = 261,794 : x
  2. Step 2: Convert to fraction form
    422,971.04/583,698.48 = 261,794/x
  3. Step 3: Cross multiply
    422,971.04x = 583,698.48 × 261,794
  4. Step 4: Simplify right side
    422,971.04x = 152,808,759,873.12
  5. Step 5: Solve for x
    x = 152,808,759,873.12/422,971.04
  6. Step 6: Final answer
    x = 361,274.76

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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.