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Finding the Fourth Proportional to 284,658.23, 426,642.09 and 209,077.56

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Solution

The fourth proportional to 284,658.23, 426,642.09 and 209,077.56 is: 313,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,658.23 : 426,642.09 = 209,077.56 : x
  2. Step 2: Convert to fraction form
    284,658.23/426,642.09 = 209,077.56/x
  3. Step 3: Cross multiply
    284,658.23x = 426,642.09 × 209,077.56
  4. Step 4: Simplify right side
    284,658.23x = 89,201,287,170.50
  5. Step 5: Solve for x
    x = 89,201,287,170.50/284,658.23
  6. Step 6: Final answer
    x = 313,362.75

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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.