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Finding the Fourth Proportional to 295,743.60, 443,615.40 and 201,265.20

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Solution

The fourth proportional to 295,743.60, 443,615.40 and 201,265.20 is: 301,897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,743.60 : 443,615.40 = 201,265.20 : x
  2. Step 2: Convert to fraction form
    295,743.60/443,615.40 = 201,265.20/x
  3. Step 3: Cross multiply
    295,743.60x = 443,615.40 × 201,265.20
  4. Step 4: Simplify right side
    295,743.60x = 89,284,342,204.08
  5. Step 5: Solve for x
    x = 89,284,342,204.08/295,743.60
  6. Step 6: Final answer
    x = 301,897.80

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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.