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Finding the Fourth Proportional to 268,213.68, 370,462.31 and 200,531.19

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Solution

The fourth proportional to 268,213.68, 370,462.31 and 200,531.19 is: 276,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,213.68 : 370,462.31 = 200,531.19 : x
  2. Step 2: Convert to fraction form
    268,213.68/370,462.31 = 200,531.19/x
  3. Step 3: Cross multiply
    268,213.68x = 370,462.31 × 200,531.19
  4. Step 4: Simplify right side
    268,213.68x = 74,289,249,013.02
  5. Step 5: Solve for x
    x = 74,289,249,013.02/268,213.68
  6. Step 6: Final answer
    x = 276,977.85

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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.