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Finding the Fourth Proportional to 295,314.51, 407,512.89 and 166,246.32

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Solution

The fourth proportional to 295,314.51, 407,512.89 and 166,246.32 is: 229,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,314.51 : 407,512.89 = 166,246.32 : x
  2. Step 2: Convert to fraction form
    295,314.51/407,512.89 = 166,246.32/x
  3. Step 3: Cross multiply
    295,314.51x = 407,512.89 × 166,246.32
  4. Step 4: Simplify right side
    295,314.51x = 67,747,517,965.80
  5. Step 5: Solve for x
    x = 67,747,517,965.80/295,314.51
  6. Step 6: Final answer
    x = 229,408.02

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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.