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Finding the Fourth Proportional to 286,319.82, 395,179.38 and 165,466.20

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Solution

The fourth proportional to 286,319.82, 395,179.38 and 165,466.20 is: 228,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,319.82 : 395,179.38 = 165,466.20 : x
  2. Step 2: Convert to fraction form
    286,319.82/395,179.38 = 165,466.20/x
  3. Step 3: Cross multiply
    286,319.82x = 395,179.38 × 165,466.20
  4. Step 4: Simplify right side
    286,319.82x = 65,388,830,326.96
  5. Step 5: Solve for x
    x = 65,388,830,326.96/286,319.82
  6. Step 6: Final answer
    x = 228,376.89

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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.