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Finding the Fourth Proportional to 312,466.41, 431,246.57 and 191,586.33

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Solution

The fourth proportional to 312,466.41, 431,246.57 and 191,586.33 is: 264,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.41 : 431,246.57 = 191,586.33 : x
  2. Step 2: Convert to fraction form
    312,466.41/431,246.57 = 191,586.33/x
  3. Step 3: Cross multiply
    312,466.41x = 431,246.57 × 191,586.33
  4. Step 4: Simplify right side
    312,466.41x = 82,620,946,713.46
  5. Step 5: Solve for x
    x = 82,620,946,713.46/312,466.41
  6. Step 6: Final answer
    x = 264,415.45

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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.