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Finding the Fourth Proportional to 301,751, 416,416.60 and 165,793.68

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Solution

The fourth proportional to 301,751, 416,416.60 and 165,793.68 is: 228,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,751 : 416,416.60 = 165,793.68 : x
  2. Step 2: Convert to fraction form
    301,751/416,416.60 = 165,793.68/x
  3. Step 3: Cross multiply
    301,751x = 416,416.60 × 165,793.68
  4. Step 4: Simplify right side
    301,751x = 69,039,240,527.09
  5. Step 5: Solve for x
    x = 69,039,240,527.09/301,751
  6. Step 6: Final answer
    x = 228,795.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.