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Finding the Fourth Proportional to 301,863.64, 416,551.63 and 165,894.66

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Solution

The fourth proportional to 301,863.64, 416,551.63 and 165,894.66 is: 228,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,863.64 : 416,551.63 = 165,894.66 : x
  2. Step 2: Convert to fraction form
    301,863.64/416,551.63 = 165,894.66/x
  3. Step 3: Cross multiply
    301,863.64x = 416,551.63 × 165,894.66
  4. Step 4: Simplify right side
    301,863.64x = 69,103,691,031.30
  5. Step 5: Solve for x
    x = 69,103,691,031.30/301,863.64
  6. Step 6: Final answer
    x = 228,923.53

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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.