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Finding the Fourth Proportional to 301,638.05, 416,263.94 and 165,675.16

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Solution

The fourth proportional to 301,638.05, 416,263.94 and 165,675.16 is: 228,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,638.05 : 416,263.94 = 165,675.16 : x
  2. Step 2: Convert to fraction form
    301,638.05/416,263.94 = 165,675.16/x
  3. Step 3: Cross multiply
    301,638.05x = 416,263.94 × 165,675.16
  4. Step 4: Simplify right side
    301,638.05x = 68,964,594,123.63
  5. Step 5: Solve for x
    x = 68,964,594,123.63/301,638.05
  6. Step 6: Final answer
    x = 228,633.61

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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.