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Finding the Fourth Proportional to 301,185.56, 415,641.62 and 165,226.46

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Solution

The fourth proportional to 301,185.56, 415,641.62 and 165,226.46 is: 228,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,185.56 : 415,641.62 = 165,226.46 : x
  2. Step 2: Convert to fraction form
    301,185.56/415,641.62 = 165,226.46/x
  3. Step 3: Cross multiply
    301,185.56x = 415,641.62 × 165,226.46
  4. Step 4: Simplify right side
    301,185.56x = 68,674,991,836.12
  5. Step 5: Solve for x
    x = 68,674,991,836.12/301,185.56
  6. Step 6: Final answer
    x = 228,015.55

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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.