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Finding the Fourth Proportional to 295,971.40, 443,592.60 and 201,201.40

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Solution

The fourth proportional to 295,971.40, 443,592.60 and 201,201.40 is: 301,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,971.40 : 443,592.60 = 201,201.40 : x
  2. Step 2: Convert to fraction form
    295,971.40/443,592.60 = 201,201.40/x
  3. Step 3: Cross multiply
    295,971.40x = 443,592.60 × 201,201.40
  4. Step 4: Simplify right side
    295,971.40x = 89,251,452,149.64
  5. Step 5: Solve for x
    x = 89,251,452,149.64/295,971.40
  6. Step 6: Final answer
    x = 301,554.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.