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Finding the Fourth Proportional to 313,942.32, 470,913.47 and 92,326.32

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Solution

The fourth proportional to 313,942.32, 470,913.47 and 92,326.32 is: 138,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,942.32 : 470,913.47 = 92,326.32 : x
  2. Step 2: Convert to fraction form
    313,942.32/470,913.47 = 92,326.32/x
  3. Step 3: Cross multiply
    313,942.32x = 470,913.47 × 92,326.32
  4. Step 4: Simplify right side
    313,942.32x = 43,477,707,261.90
  5. Step 5: Solve for x
    x = 43,477,707,261.90/313,942.32
  6. Step 6: Final answer
    x = 138,489.48

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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.