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Finding the Fourth Proportional to 228,464, 342,288.96 and 194,842.96

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Solution

The fourth proportional to 228,464, 342,288.96 and 194,842.96 is: 291,917.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,464 : 342,288.96 = 194,842.96 : x
  2. Step 2: Convert to fraction form
    228,464/342,288.96 = 194,842.96/x
  3. Step 3: Cross multiply
    228,464x = 342,288.96 × 194,842.96
  4. Step 4: Simplify right side
    228,464x = 66,692,594,141.72
  5. Step 5: Solve for x
    x = 66,692,594,141.72/228,464
  6. Step 6: Final answer
    x = 291,917.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.