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Finding the Fourth Proportional to 301,894.56, 416,614.82 and 165,928.46

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Solution

The fourth proportional to 301,894.56, 416,614.82 and 165,928.46 is: 228,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,894.56 : 416,614.82 = 165,928.46 : x
  2. Step 2: Convert to fraction form
    301,894.56/416,614.82 = 165,928.46/x
  3. Step 3: Cross multiply
    301,894.56x = 416,614.82 × 165,928.46
  4. Step 4: Simplify right side
    301,894.56x = 69,128,255,495.78
  5. Step 5: Solve for x
    x = 69,128,255,495.78/301,894.56
  6. Step 6: Final answer
    x = 228,981.45

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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.