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Finding the Fourth Proportional to 384,094.60, 529,997.58 and 214,295.80

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Solution

The fourth proportional to 384,094.60, 529,997.58 and 214,295.80 is: 295,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,094.60 : 529,997.58 = 214,295.80 : x
  2. Step 2: Convert to fraction form
    384,094.60/529,997.58 = 214,295.80/x
  3. Step 3: Cross multiply
    384,094.60x = 529,997.58 × 214,295.80
  4. Step 4: Simplify right side
    384,094.60x = 113,576,255,404.16
  5. Step 5: Solve for x
    x = 113,576,255,404.16/384,094.60
  6. Step 6: Final answer
    x = 295,698.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.