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Finding the Fourth Proportional to 201,702.30, 290,824.56 and 201,702.30

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Solution

The fourth proportional to 201,702.30, 290,824.56 and 201,702.30 is: 290,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,702.30 : 290,824.56 = 201,702.30 : x
  2. Step 2: Convert to fraction form
    201,702.30/290,824.56 = 201,702.30/x
  3. Step 3: Cross multiply
    201,702.30x = 290,824.56 × 201,702.30
  4. Step 4: Simplify right side
    201,702.30x = 58,659,982,648.49
  5. Step 5: Solve for x
    x = 58,659,982,648.49/201,702.30
  6. Step 6: Final answer
    x = 290,824.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.