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Finding the Fourth Proportional to 379,296.16, 523,409.36 and 209,497.44

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Solution

The fourth proportional to 379,296.16, 523,409.36 and 209,497.44 is: 289,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,296.16 : 523,409.36 = 209,497.44 : x
  2. Step 2: Convert to fraction form
    379,296.16/523,409.36 = 209,497.44/x
  3. Step 3: Cross multiply
    379,296.16x = 523,409.36 × 209,497.44
  4. Step 4: Simplify right side
    379,296.16x = 109,652,920,992.04
  5. Step 5: Solve for x
    x = 109,652,920,992.04/379,296.16
  6. Step 6: Final answer
    x = 289,095.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.