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Finding the Fourth Proportional to 301,188.81, 415,802.44 and 232,633.42

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Solution

The fourth proportional to 301,188.81, 415,802.44 and 232,633.42 is: 321,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,188.81 : 415,802.44 = 232,633.42 : x
  2. Step 2: Convert to fraction form
    301,188.81/415,802.44 = 232,633.42/x
  3. Step 3: Cross multiply
    301,188.81x = 415,802.44 × 232,633.42
  4. Step 4: Simplify right side
    301,188.81x = 96,729,542,258.55
  5. Step 5: Solve for x
    x = 96,729,542,258.55/301,188.81
  6. Step 6: Final answer
    x = 321,159.16

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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.