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Finding the Fourth Proportional to 384,000.54, 529,921.08 and 214,234.72

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Solution

The fourth proportional to 384,000.54, 529,921.08 and 214,234.72 is: 295,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,000.54 : 529,921.08 = 214,234.72 : x
  2. Step 2: Convert to fraction form
    384,000.54/529,921.08 = 214,234.72/x
  3. Step 3: Cross multiply
    384,000.54x = 529,921.08 × 214,234.72
  4. Step 4: Simplify right side
    384,000.54x = 113,527,494,195.90
  5. Step 5: Solve for x
    x = 113,527,494,195.90/384,000.54
  6. Step 6: Final answer
    x = 295,644.10

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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.