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Finding the Fourth Proportional to 319,725.40, 441,064.38 and 206,645.08

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Solution

The fourth proportional to 319,725.40, 441,064.38 and 206,645.08 is: 285,068.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,725.40 : 441,064.38 = 206,645.08 : x
  2. Step 2: Convert to fraction form
    319,725.40/441,064.38 = 206,645.08/x
  3. Step 3: Cross multiply
    319,725.40x = 441,064.38 × 206,645.08
  4. Step 4: Simplify right side
    319,725.40x = 91,143,784,090.25
  5. Step 5: Solve for x
    x = 91,143,784,090.25/319,725.40
  6. Step 6: Final answer
    x = 285,068.95

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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.