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Finding the Fourth Proportional to 289,032.36, 398,975.40 and 193,504.20

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Solution

The fourth proportional to 289,032.36, 398,975.40 and 193,504.20 is: 267,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.36 : 398,975.40 = 193,504.20 : x
  2. Step 2: Convert to fraction form
    289,032.36/398,975.40 = 193,504.20/x
  3. Step 3: Cross multiply
    289,032.36x = 398,975.40 × 193,504.20
  4. Step 4: Simplify right side
    289,032.36x = 77,203,415,596.68
  5. Step 5: Solve for x
    x = 77,203,415,596.68/289,032.36
  6. Step 6: Final answer
    x = 267,109.94

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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.