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Finding the Fourth Proportional to 262,549.98, 362,300.31 and 206,096.22

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Solution

The fourth proportional to 262,549.98, 362,300.31 and 206,096.22 is: 284,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,549.98 : 362,300.31 = 206,096.22 : x
  2. Step 2: Convert to fraction form
    262,549.98/362,300.31 = 206,096.22/x
  3. Step 3: Cross multiply
    262,549.98x = 362,300.31 × 206,096.22
  4. Step 4: Simplify right side
    262,549.98x = 74,668,724,395.83
  5. Step 5: Solve for x
    x = 74,668,724,395.83/262,549.98
  6. Step 6: Final answer
    x = 284,398.13

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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.