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Finding the Fourth Proportional to 301,865.84, 416,578.64 and 165,914.64

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Solution

The fourth proportional to 301,865.84, 416,578.64 and 165,914.64 is: 228,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,865.84 : 416,578.64 = 165,914.64 : x
  2. Step 2: Convert to fraction form
    301,865.84/416,578.64 = 165,914.64/x
  3. Step 3: Cross multiply
    301,865.84x = 416,578.64 × 165,914.64
  4. Step 4: Simplify right side
    301,865.84x = 69,116,495,087.29
  5. Step 5: Solve for x
    x = 69,116,495,087.29/301,865.84
  6. Step 6: Final answer
    x = 228,964.28

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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.