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Finding the Fourth Proportional to 523,713.37, 785,577.34 and 149,736.37

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Solution

The fourth proportional to 523,713.37, 785,577.34 and 149,736.37 is: 224,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,713.37 : 785,577.34 = 149,736.37 : x
  2. Step 2: Convert to fraction form
    523,713.37/785,577.34 = 149,736.37/x
  3. Step 3: Cross multiply
    523,713.37x = 785,577.34 × 149,736.37
  4. Step 4: Simplify right side
    523,713.37x = 117,629,495,317.97
  5. Step 5: Solve for x
    x = 117,629,495,317.97/523,713.37
  6. Step 6: Final answer
    x = 224,606.63

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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.