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Finding the Fourth Proportional to 409,879.22, 565,484.23 and 237,702.17

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Solution

The fourth proportional to 409,879.22, 565,484.23 and 237,702.17 is: 327,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,879.22 : 565,484.23 = 237,702.17 : x
  2. Step 2: Convert to fraction form
    409,879.22/565,484.23 = 237,702.17/x
  3. Step 3: Cross multiply
    409,879.22x = 565,484.23 × 237,702.17
  4. Step 4: Simplify right side
    409,879.22x = 134,416,830,282.62
  5. Step 5: Solve for x
    x = 134,416,830,282.62/409,879.22
  6. Step 6: Final answer
    x = 327,942.54

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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.