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Finding the Fourth Proportional to 284,825.10, 426,863.88 and 209,592.98

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Solution

The fourth proportional to 284,825.10, 426,863.88 and 209,592.98 is: 314,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,825.10 : 426,863.88 = 209,592.98 : x
  2. Step 2: Convert to fraction form
    284,825.10/426,863.88 = 209,592.98/x
  3. Step 3: Cross multiply
    284,825.10x = 426,863.88 × 209,592.98
  4. Step 4: Simplify right side
    284,825.10x = 89,467,672,663.56
  5. Step 5: Solve for x
    x = 89,467,672,663.56/284,825.10
  6. Step 6: Final answer
    x = 314,114.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.