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Finding the Fourth Proportional to 343,258.57, 514,922.46 and 90,556.53

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Solution

The fourth proportional to 343,258.57, 514,922.46 and 90,556.53 is: 135,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,258.57 : 514,922.46 = 90,556.53 : x
  2. Step 2: Convert to fraction form
    343,258.57/514,922.46 = 90,556.53/x
  3. Step 3: Cross multiply
    343,258.57x = 514,922.46 × 90,556.53
  4. Step 4: Simplify right side
    343,258.57x = 46,629,588,926.12
  5. Step 5: Solve for x
    x = 46,629,588,926.12/343,258.57
  6. Step 6: Final answer
    x = 135,843.92

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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.