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Finding the Fourth Proportional to 383,862, 529,729.56 and 214,096.26

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Solution

The fourth proportional to 383,862, 529,729.56 and 214,096.26 is: 295,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,862 : 529,729.56 = 214,096.26 : x
  2. Step 2: Convert to fraction form
    383,862/529,729.56 = 214,096.26/x
  3. Step 3: Cross multiply
    383,862x = 529,729.56 × 214,096.26
  4. Step 4: Simplify right side
    383,862x = 113,413,117,607.45
  5. Step 5: Solve for x
    x = 113,413,117,607.45/383,862
  6. Step 6: Final answer
    x = 295,452.84

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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.