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Finding the Fourth Proportional to 283,428.54, 390,806.91 and 211,687.38

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Solution

The fourth proportional to 283,428.54, 390,806.91 and 211,687.38 is: 291,886.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,428.54 : 390,806.91 = 211,687.38 : x
  2. Step 2: Convert to fraction form
    283,428.54/390,806.91 = 211,687.38/x
  3. Step 3: Cross multiply
    283,428.54x = 390,806.91 × 211,687.38
  4. Step 4: Simplify right side
    283,428.54x = 82,728,890,863.80
  5. Step 5: Solve for x
    x = 82,728,890,863.80/283,428.54
  6. Step 6: Final answer
    x = 291,886.24

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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.