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Finding the Fourth Proportional to 465,469.07, 698,258.29 and 165,992.23

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Solution

The fourth proportional to 465,469.07, 698,258.29 and 165,992.23 is: 249,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,469.07 : 698,258.29 = 165,992.23 : x
  2. Step 2: Convert to fraction form
    465,469.07/698,258.29 = 165,992.23/x
  3. Step 3: Cross multiply
    465,469.07x = 698,258.29 × 165,992.23
  4. Step 4: Simplify right side
    465,469.07x = 115,905,448,512.46
  5. Step 5: Solve for x
    x = 115,905,448,512.46/465,469.07
  6. Step 6: Final answer
    x = 249,007.84

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1.5x scale

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.