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Finding the Fourth Proportional to 362,342.25, 500,093.82 and 209,469.06

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Solution

The fourth proportional to 362,342.25, 500,093.82 and 209,469.06 is: 289,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,342.25 : 500,093.82 = 209,469.06 : x
  2. Step 2: Convert to fraction form
    362,342.25/500,093.82 = 209,469.06/x
  3. Step 3: Cross multiply
    362,342.25x = 500,093.82 × 209,469.06
  4. Step 4: Simplify right side
    362,342.25x = 104,754,182,387.21
  5. Step 5: Solve for x
    x = 104,754,182,387.21/362,342.25
  6. Step 6: Final answer
    x = 289,102.86

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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.