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Finding the Fourth Proportional to 365,445.82, 547,919.26 and 194,693.06

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Solution

The fourth proportional to 365,445.82, 547,919.26 and 194,693.06 is: 291,906.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,445.82 : 547,919.26 = 194,693.06 : x
  2. Step 2: Convert to fraction form
    365,445.82/547,919.26 = 194,693.06/x
  3. Step 3: Cross multiply
    365,445.82x = 547,919.26 × 194,693.06
  4. Step 4: Simplify right side
    365,445.82x = 106,676,077,362.34
  5. Step 5: Solve for x
    x = 106,676,077,362.34/365,445.82
  6. Step 6: Final answer
    x = 291,906.68

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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.