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Finding the Fourth Proportional to 295,976.40, 443,600.10 and 201,206.40

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Solution

The fourth proportional to 295,976.40, 443,600.10 and 201,206.40 is: 301,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,976.40 : 443,600.10 = 201,206.40 : x
  2. Step 2: Convert to fraction form
    295,976.40/443,600.10 = 201,206.40/x
  3. Step 3: Cross multiply
    295,976.40x = 443,600.10 × 201,206.40
  4. Step 4: Simplify right side
    295,976.40x = 89,255,179,160.64
  5. Step 5: Solve for x
    x = 89,255,179,160.64/295,976.40
  6. Step 6: Final answer
    x = 301,561.81

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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.