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Finding the Fourth Proportional to 301,604.64, 416,196 and 165,612.12

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Solution

The fourth proportional to 301,604.64, 416,196 and 165,612.12 is: 228,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,604.64 : 416,196 = 165,612.12 : x
  2. Step 2: Convert to fraction form
    301,604.64/416,196 = 165,612.12/x
  3. Step 3: Cross multiply
    301,604.64x = 416,196 × 165,612.12
  4. Step 4: Simplify right side
    301,604.64x = 68,927,101,895.52
  5. Step 5: Solve for x
    x = 68,927,101,895.52/301,604.64
  6. Step 6: Final answer
    x = 228,534.62

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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.