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Finding the Fourth Proportional to 301,856.76, 416,570.34 and 165,894.60

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Solution

The fourth proportional to 301,856.76, 416,570.34 and 165,894.60 is: 228,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,856.76 : 416,570.34 = 165,894.60 : x
  2. Step 2: Convert to fraction form
    301,856.76/416,570.34 = 165,894.60/x
  3. Step 3: Cross multiply
    301,856.76x = 416,570.34 × 165,894.60
  4. Step 4: Simplify right side
    301,856.76x = 69,106,769,926.16
  5. Step 5: Solve for x
    x = 69,106,769,926.16/301,856.76
  6. Step 6: Final answer
    x = 228,938.95

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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.