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Finding the Fourth Proportional to 422,677.04, 583,291.56 and 231,698.48

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Solution

The fourth proportional to 422,677.04, 583,291.56 and 231,698.48 is: 319,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,677.04 : 583,291.56 = 231,698.48 : x
  2. Step 2: Convert to fraction form
    422,677.04/583,291.56 = 231,698.48/x
  3. Step 3: Cross multiply
    422,677.04x = 583,291.56 × 231,698.48
  4. Step 4: Simplify right side
    422,677.04x = 135,147,767,848.83
  5. Step 5: Solve for x
    x = 135,147,767,848.83/422,677.04
  6. Step 6: Final answer
    x = 319,742.39

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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.