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Finding the Fourth Proportional to 295,716.91, 408,097.74 and 164,897.57

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Solution

The fourth proportional to 295,716.91, 408,097.74 and 164,897.57 is: 227,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,716.91 : 408,097.74 = 164,897.57 : x
  2. Step 2: Convert to fraction form
    295,716.91/408,097.74 = 164,897.57/x
  3. Step 3: Cross multiply
    295,716.91x = 408,097.74 × 164,897.57
  4. Step 4: Simplify right side
    295,716.91x = 67,294,325,648.49
  5. Step 5: Solve for x
    x = 67,294,325,648.49/295,716.91
  6. Step 6: Final answer
    x = 227,563.33

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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.