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Finding the Fourth Proportional to 283,271.60, 390,917.40 and 155,950

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Solution

The fourth proportional to 283,271.60, 390,917.40 and 155,950 is: 215,212.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,271.60 : 390,917.40 = 155,950 : x
  2. Step 2: Convert to fraction form
    283,271.60/390,917.40 = 155,950/x
  3. Step 3: Cross multiply
    283,271.60x = 390,917.40 × 155,950
  4. Step 4: Simplify right side
    283,271.60x = 60,963,568,530
  5. Step 5: Solve for x
    x = 60,963,568,530/283,271.60
  6. Step 6: Final answer
    x = 215,212.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.