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Finding the Fourth Proportional to 383,570.74, 529,334.67 and 213,786.64

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Solution

The fourth proportional to 383,570.74, 529,334.67 and 213,786.64 is: 295,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,570.74 : 529,334.67 = 213,786.64 : x
  2. Step 2: Convert to fraction form
    383,570.74/529,334.67 = 213,786.64/x
  3. Step 3: Cross multiply
    383,570.74x = 529,334.67 × 213,786.64
  4. Step 4: Simplify right side
    383,570.74x = 113,164,680,534.81
  5. Step 5: Solve for x
    x = 113,164,680,534.81/383,570.74
  6. Step 6: Final answer
    x = 295,029.49

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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.