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Finding the Fourth Proportional to 383,570.50, 529,334.24 and 213,786.40

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Solution

The fourth proportional to 383,570.50, 529,334.24 and 213,786.40 is: 295,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,570.50 : 529,334.24 = 213,786.40 : x
  2. Step 2: Convert to fraction form
    383,570.50/529,334.24 = 213,786.40/x
  3. Step 3: Cross multiply
    383,570.50x = 529,334.24 × 213,786.40
  4. Step 4: Simplify right side
    383,570.50x = 113,164,461,566.34
  5. Step 5: Solve for x
    x = 113,164,461,566.34/383,570.50
  6. Step 6: Final answer
    x = 295,029.11

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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.