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Finding the Fourth Proportional to 314,367.22, 471,286.32 and 136,740.44

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Solution

The fourth proportional to 314,367.22, 471,286.32 and 136,740.44 is: 204,995.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,367.22 : 471,286.32 = 136,740.44 : x
  2. Step 2: Convert to fraction form
    314,367.22/471,286.32 = 136,740.44/x
  3. Step 3: Cross multiply
    314,367.22x = 471,286.32 × 136,740.44
  4. Step 4: Simplify right side
    314,367.22x = 64,443,898,762.78
  5. Step 5: Solve for x
    x = 64,443,898,762.78/314,367.22
  6. Step 6: Final answer
    x = 204,995.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.