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Finding the Fourth Proportional to 301,861.29, 416,578.57 and 165,900.06

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Solution

The fourth proportional to 301,861.29, 416,578.57 and 165,900.06 is: 228,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861.29 : 416,578.57 = 165,900.06 : x
  2. Step 2: Convert to fraction form
    301,861.29/416,578.57 = 165,900.06/x
  3. Step 3: Cross multiply
    301,861.29x = 416,578.57 × 165,900.06
  4. Step 4: Simplify right side
    301,861.29x = 69,110,407,780.79
  5. Step 5: Solve for x
    x = 69,110,407,780.79/301,861.29
  6. Step 6: Final answer
    x = 228,947.57

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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.