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Finding the Fourth Proportional to 202,955.60, 284,604.40 and 202,955.60

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Solution

The fourth proportional to 202,955.60, 284,604.40 and 202,955.60 is: 284,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955.60 : 284,604.40 = 202,955.60 : x
  2. Step 2: Convert to fraction form
    202,955.60/284,604.40 = 202,955.60/x
  3. Step 3: Cross multiply
    202,955.60x = 284,604.40 × 202,955.60
  4. Step 4: Simplify right side
    202,955.60x = 57,762,056,764.64
  5. Step 5: Solve for x
    x = 57,762,056,764.64/202,955.60
  6. Step 6: Final answer
    x = 284,604.40

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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.