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Finding the Fourth Proportional to 362,102, 499,667.74 and 214,901.46

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Solution

The fourth proportional to 362,102, 499,667.74 and 214,901.46 is: 296,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,102 : 499,667.74 = 214,901.46 : x
  2. Step 2: Convert to fraction form
    362,102/499,667.74 = 214,901.46/x
  3. Step 3: Cross multiply
    362,102x = 499,667.74 × 214,901.46
  4. Step 4: Simplify right side
    362,102x = 107,379,326,840.90
  5. Step 5: Solve for x
    x = 107,379,326,840.90/362,102
  6. Step 6: Final answer
    x = 296,544.42

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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.