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Finding the Fourth Proportional to 383,526.44, 529,284.60 and 213,761.80

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Solution

The fourth proportional to 383,526.44, 529,284.60 and 213,761.80 is: 295,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,526.44 : 529,284.60 = 213,761.80 : x
  2. Step 2: Convert to fraction form
    383,526.44/529,284.60 = 213,761.80/x
  3. Step 3: Cross multiply
    383,526.44x = 529,284.60 × 213,761.80
  4. Step 4: Simplify right side
    383,526.44x = 113,140,828,808.28
  5. Step 5: Solve for x
    x = 113,140,828,808.28/383,526.44
  6. Step 6: Final answer
    x = 295,001.38

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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.