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Finding the Fourth Proportional to 299,567.09, 413,405.39 and 170,499.23

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Solution

The fourth proportional to 299,567.09, 413,405.39 and 170,499.23 is: 235,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,567.09 : 413,405.39 = 170,499.23 : x
  2. Step 2: Convert to fraction form
    299,567.09/413,405.39 = 170,499.23/x
  3. Step 3: Cross multiply
    299,567.09x = 413,405.39 × 170,499.23
  4. Step 4: Simplify right side
    299,567.09x = 70,485,297,753.33
  5. Step 5: Solve for x
    x = 70,485,297,753.33/299,567.09
  6. Step 6: Final answer
    x = 235,290.53

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1.5x scale

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.