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Finding the Fourth Proportional to 295,843.40, 443,765.10 and 205,301.60

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Solution

The fourth proportional to 295,843.40, 443,765.10 and 205,301.60 is: 307,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,843.40 : 443,765.10 = 205,301.60 : x
  2. Step 2: Convert to fraction form
    295,843.40/443,765.10 = 205,301.60/x
  3. Step 3: Cross multiply
    295,843.40x = 443,765.10 × 205,301.60
  4. Step 4: Simplify right side
    295,843.40x = 91,105,685,054.16
  5. Step 5: Solve for x
    x = 91,105,685,054.16/295,843.40
  6. Step 6: Final answer
    x = 307,952.40

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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.