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Finding the Fourth Proportional to 306,333.96, 422,716.34 and 170,368.16

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Solution

The fourth proportional to 306,333.96, 422,716.34 and 170,368.16 is: 235,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,333.96 : 422,716.34 = 170,368.16 : x
  2. Step 2: Convert to fraction form
    306,333.96/422,716.34 = 170,368.16/x
  3. Step 3: Cross multiply
    306,333.96x = 422,716.34 × 170,368.16
  4. Step 4: Simplify right side
    306,333.96x = 72,017,405,047.73
  5. Step 5: Solve for x
    x = 72,017,405,047.73/306,333.96
  6. Step 6: Final answer
    x = 235,094.42

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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.