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Finding the Fourth Proportional to 383,926.68, 529,830.36 and 214,157.16

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Solution

The fourth proportional to 383,926.68, 529,830.36 and 214,157.16 is: 295,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,926.68 : 529,830.36 = 214,157.16 : x
  2. Step 2: Convert to fraction form
    383,926.68/529,830.36 = 214,157.16/x
  3. Step 3: Cross multiply
    383,926.68x = 529,830.36 × 214,157.16
  4. Step 4: Simplify right side
    383,926.68x = 113,466,965,179.38
  5. Step 5: Solve for x
    x = 113,466,965,179.38/383,926.68
  6. Step 6: Final answer
    x = 295,543.32

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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.