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Finding the Fourth Proportional to 344,047.50, 474,785.55 and 193,144.50

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Solution

The fourth proportional to 344,047.50, 474,785.55 and 193,144.50 is: 266,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,047.50 : 474,785.55 = 193,144.50 : x
  2. Step 2: Convert to fraction form
    344,047.50/474,785.55 = 193,144.50/x
  3. Step 3: Cross multiply
    344,047.50x = 474,785.55 × 193,144.50
  4. Step 4: Simplify right side
    344,047.50x = 91,702,217,661.98
  5. Step 5: Solve for x
    x = 91,702,217,661.98/344,047.50
  6. Step 6: Final answer
    x = 266,539.41

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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.