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Finding the Fourth Proportional to 301,899.86, 416,626.08 and 165,946.37

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Solution

The fourth proportional to 301,899.86, 416,626.08 and 165,946.37 is: 229,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,899.86 : 416,626.08 = 165,946.37 : x
  2. Step 2: Convert to fraction form
    301,899.86/416,626.08 = 165,946.37/x
  3. Step 3: Cross multiply
    301,899.86x = 416,626.08 × 165,946.37
  4. Step 4: Simplify right side
    301,899.86x = 69,137,586,194.87
  5. Step 5: Solve for x
    x = 69,137,586,194.87/301,899.86
  6. Step 6: Final answer
    x = 229,008.34

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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.