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Finding the Fourth Proportional to 202,978.30, 284,791.70 and 202,978.30

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Solution

The fourth proportional to 202,978.30, 284,791.70 and 202,978.30 is: 284,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.30 : 284,791.70 = 202,978.30 : x
  2. Step 2: Convert to fraction form
    202,978.30/284,791.70 = 202,978.30/x
  3. Step 3: Cross multiply
    202,978.30x = 284,791.70 × 202,978.30
  4. Step 4: Simplify right side
    202,978.30x = 57,806,535,120.11
  5. Step 5: Solve for x
    x = 57,806,535,120.11/202,978.30
  6. Step 6: Final answer
    x = 284,791.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.