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Finding the Fourth Proportional to 329,252, 454,471.44 and 210,020

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Solution

The fourth proportional to 329,252, 454,471.44 and 210,020 is: 289,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,252 : 454,471.44 = 210,020 : x
  2. Step 2: Convert to fraction form
    329,252/454,471.44 = 210,020/x
  3. Step 3: Cross multiply
    329,252x = 454,471.44 × 210,020
  4. Step 4: Simplify right side
    329,252x = 95,448,091,828.80
  5. Step 5: Solve for x
    x = 95,448,091,828.80/329,252
  6. Step 6: Final answer
    x = 289,893.73

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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.