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Finding the Fourth Proportional to 301,830.91, 416,499.57 and 165,863.30

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Solution

The fourth proportional to 301,830.91, 416,499.57 and 165,863.30 is: 228,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,830.91 : 416,499.57 = 165,863.30 : x
  2. Step 2: Convert to fraction form
    301,830.91/416,499.57 = 165,863.30/x
  3. Step 3: Cross multiply
    301,830.91x = 416,499.57 × 165,863.30
  4. Step 4: Simplify right side
    301,830.91x = 69,081,991,046.28
  5. Step 5: Solve for x
    x = 69,081,991,046.28/301,830.91
  6. Step 6: Final answer
    x = 228,876.46

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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.