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Finding the Fourth Proportional to 284,970.13, 393,224.75 and 157,628.41

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Solution

The fourth proportional to 284,970.13, 393,224.75 and 157,628.41 is: 217,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,970.13 : 393,224.75 = 157,628.41 : x
  2. Step 2: Convert to fraction form
    284,970.13/393,224.75 = 157,628.41/x
  3. Step 3: Cross multiply
    284,970.13x = 393,224.75 × 157,628.41
  4. Step 4: Simplify right side
    284,970.13x = 61,983,392,115.15
  5. Step 5: Solve for x
    x = 61,983,392,115.15/284,970.13
  6. Step 6: Final answer
    x = 217,508.38

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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.