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Finding the Fourth Proportional to 284,384.37, 392,453.75 and 157,059.57

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Solution

The fourth proportional to 284,384.37, 392,453.75 and 157,059.57 is: 216,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,384.37 : 392,453.75 = 157,059.57 : x
  2. Step 2: Convert to fraction form
    284,384.37/392,453.75 = 157,059.57/x
  3. Step 3: Cross multiply
    284,384.37x = 392,453.75 × 157,059.57
  4. Step 4: Simplify right side
    284,384.37x = 61,638,616,434.59
  5. Step 5: Solve for x
    x = 61,638,616,434.59/284,384.37
  6. Step 6: Final answer
    x = 216,744.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.