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Finding the Fourth Proportional to 284,738.12, 392,919.36 and 157,396.40

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Solution

The fourth proportional to 284,738.12, 392,919.36 and 157,396.40 is: 217,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,738.12 : 392,919.36 = 157,396.40 : x
  2. Step 2: Convert to fraction form
    284,738.12/392,919.36 = 157,396.40/x
  3. Step 3: Cross multiply
    284,738.12x = 392,919.36 × 157,396.40
  4. Step 4: Simplify right side
    284,738.12x = 61,844,092,754.30
  5. Step 5: Solve for x
    x = 61,844,092,754.30/284,738.12
  6. Step 6: Final answer
    x = 217,196.39

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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.