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Finding the Fourth Proportional to 384,012.22, 529,938.39 and 214,253.50

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Solution

The fourth proportional to 384,012.22, 529,938.39 and 214,253.50 is: 295,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,012.22 : 529,938.39 = 214,253.50 : x
  2. Step 2: Convert to fraction form
    384,012.22/529,938.39 = 214,253.50/x
  3. Step 3: Cross multiply
    384,012.22x = 529,938.39 × 214,253.50
  4. Step 4: Simplify right side
    384,012.22x = 113,541,154,841.87
  5. Step 5: Solve for x
    x = 113,541,154,841.87/384,012.22
  6. Step 6: Final answer
    x = 295,670.68

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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.