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Finding the Fourth Proportional to 315,452.52, 435,324.06 and 202,275

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Solution

The fourth proportional to 315,452.52, 435,324.06 and 202,275 is: 279,139.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,452.52 : 435,324.06 = 202,275 : x
  2. Step 2: Convert to fraction form
    315,452.52/435,324.06 = 202,275/x
  3. Step 3: Cross multiply
    315,452.52x = 435,324.06 × 202,275
  4. Step 4: Simplify right side
    315,452.52x = 88,055,174,236.50
  5. Step 5: Solve for x
    x = 88,055,174,236.50/315,452.52
  6. Step 6: Final answer
    x = 279,139.23

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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.