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Finding the Fourth Proportional to 358,212.53, 494,337.38 and 205,247.63

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Solution

The fourth proportional to 358,212.53, 494,337.38 and 205,247.63 is: 283,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,212.53 : 494,337.38 = 205,247.63 : x
  2. Step 2: Convert to fraction form
    358,212.53/494,337.38 = 205,247.63/x
  3. Step 3: Cross multiply
    358,212.53x = 494,337.38 × 205,247.63
  4. Step 4: Simplify right side
    358,212.53x = 101,461,572,167.48
  5. Step 5: Solve for x
    x = 101,461,572,167.48/358,212.53
  6. Step 6: Final answer
    x = 283,244.07

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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.