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Finding the Fourth Proportional to 284,122.76, 425,715.82 and 254,824.26

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Solution

The fourth proportional to 284,122.76, 425,715.82 and 254,824.26 is: 381,816.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,122.76 : 425,715.82 = 254,824.26 : x
  2. Step 2: Convert to fraction form
    284,122.76/425,715.82 = 254,824.26/x
  3. Step 3: Cross multiply
    284,122.76x = 425,715.82 × 254,824.26
  4. Step 4: Simplify right side
    284,122.76x = 108,482,718,801.79
  5. Step 5: Solve for x
    x = 108,482,718,801.79/284,122.76
  6. Step 6: Final answer
    x = 381,816.36

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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.