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Finding the Fourth Proportional to 385,234.43, 531,594.64 and 215,435.75

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Solution

The fourth proportional to 385,234.43, 531,594.64 and 215,435.75 is: 297,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,234.43 : 531,594.64 = 215,435.75 : x
  2. Step 2: Convert to fraction form
    385,234.43/531,594.64 = 215,435.75/x
  3. Step 3: Cross multiply
    385,234.43x = 531,594.64 × 215,435.75
  4. Step 4: Simplify right side
    385,234.43x = 114,524,489,964.38
  5. Step 5: Solve for x
    x = 114,524,489,964.38/385,234.43
  6. Step 6: Final answer
    x = 297,285.19

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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.