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Finding the Fourth Proportional to 301,525.56, 416,111.22 and 165,558.32

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Solution

The fourth proportional to 301,525.56, 416,111.22 and 165,558.32 is: 228,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,525.56 : 416,111.22 = 165,558.32 : x
  2. Step 2: Convert to fraction form
    301,525.56/416,111.22 = 165,558.32/x
  3. Step 3: Cross multiply
    301,525.56x = 416,111.22 × 165,558.32
  4. Step 4: Simplify right side
    301,525.56x = 68,890,674,516.35
  5. Step 5: Solve for x
    x = 68,890,674,516.35/301,525.56
  6. Step 6: Final answer
    x = 228,473.75

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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.