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Finding the Fourth Proportional to 284,096.04, 426,388.68 and 115,710

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Solution

The fourth proportional to 284,096.04, 426,388.68 and 115,710 is: 173,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,096.04 : 426,388.68 = 115,710 : x
  2. Step 2: Convert to fraction form
    284,096.04/426,388.68 = 115,710/x
  3. Step 3: Cross multiply
    284,096.04x = 426,388.68 × 115,710
  4. Step 4: Simplify right side
    284,096.04x = 49,337,434,162.80
  5. Step 5: Solve for x
    x = 49,337,434,162.80/284,096.04
  6. Step 6: Final answer
    x = 173,664.63

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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.