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Finding the Fourth Proportional to 370,328.92, 511,085.38 and 209,213.54

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Solution

The fourth proportional to 370,328.92, 511,085.38 and 209,213.54 is: 288,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,328.92 : 511,085.38 = 209,213.54 : x
  2. Step 2: Convert to fraction form
    370,328.92/511,085.38 = 209,213.54/x
  3. Step 3: Cross multiply
    370,328.92x = 511,085.38 × 209,213.54
  4. Step 4: Simplify right side
    370,328.92x = 106,925,981,592.05
  5. Step 5: Solve for x
    x = 106,925,981,592.05/370,328.92
  6. Step 6: Final answer
    x = 288,732.46

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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.