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Finding the Fourth Proportional to 301,848.28, 416,552.60 and 165,893.42

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Solution

The fourth proportional to 301,848.28, 416,552.60 and 165,893.42 is: 228,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.28 : 416,552.60 = 165,893.42 : x
  2. Step 2: Convert to fraction form
    301,848.28/416,552.60 = 165,893.42/x
  3. Step 3: Cross multiply
    301,848.28x = 416,552.60 × 165,893.42
  4. Step 4: Simplify right side
    301,848.28x = 69,103,336,880.01
  5. Step 5: Solve for x
    x = 69,103,336,880.01/301,848.28
  6. Step 6: Final answer
    x = 228,934.01

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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.