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Finding the Fourth Proportional to 301,861.26, 416,568.24 and 165,903.93

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Solution

The fourth proportional to 301,861.26, 416,568.24 and 165,903.93 is: 228,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861.26 : 416,568.24 = 165,903.93 : x
  2. Step 2: Convert to fraction form
    301,861.26/416,568.24 = 165,903.93/x
  3. Step 3: Cross multiply
    301,861.26x = 416,568.24 × 165,903.93
  4. Step 4: Simplify right side
    301,861.26x = 69,110,308,129.18
  5. Step 5: Solve for x
    x = 69,110,308,129.18/301,861.26
  6. Step 6: Final answer
    x = 228,947.26

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1.5x scale

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.