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Finding the Fourth Proportional to 262,801.38, 362,239.92 and 205,340.25

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Solution

The fourth proportional to 262,801.38, 362,239.92 and 205,340.25 is: 283,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,801.38 : 362,239.92 = 205,340.25 : x
  2. Step 2: Convert to fraction form
    262,801.38/362,239.92 = 205,340.25/x
  3. Step 3: Cross multiply
    262,801.38x = 362,239.92 × 205,340.25
  4. Step 4: Simplify right side
    262,801.38x = 74,382,435,732.78
  5. Step 5: Solve for x
    x = 74,382,435,732.78/262,801.38
  6. Step 6: Final answer
    x = 283,036.70

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1.5x scale

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.