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Finding the Fourth Proportional to 284,953.51, 393,234.24 and 157,626.37

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Solution

The fourth proportional to 284,953.51, 393,234.24 and 157,626.37 is: 217,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953.51 : 393,234.24 = 157,626.37 : x
  2. Step 2: Convert to fraction form
    284,953.51/393,234.24 = 157,626.37/x
  3. Step 3: Cross multiply
    284,953.51x = 393,234.24 × 157,626.37
  4. Step 4: Simplify right side
    284,953.51x = 61,984,085,810.91
  5. Step 5: Solve for x
    x = 61,984,085,810.91/284,953.51
  6. Step 6: Final answer
    x = 217,523.50

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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.