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Finding the Fourth Proportional to 268,534.20, 402,455.70 and 205,894.20

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Solution

The fourth proportional to 268,534.20, 402,455.70 and 205,894.20 is: 308,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,534.20 : 402,455.70 = 205,894.20 : x
  2. Step 2: Convert to fraction form
    268,534.20/402,455.70 = 205,894.20/x
  3. Step 3: Cross multiply
    268,534.20x = 402,455.70 × 205,894.20
  4. Step 4: Simplify right side
    268,534.20x = 82,863,294,386.94
  5. Step 5: Solve for x
    x = 82,863,294,386.94/268,534.20
  6. Step 6: Final answer
    x = 308,576.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.