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Finding the Fourth Proportional to 362,368.50, 500,051.76 and 201,233.84

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Solution

The fourth proportional to 362,368.50, 500,051.76 and 201,233.84 is: 277,693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,368.50 : 500,051.76 = 201,233.84 : x
  2. Step 2: Convert to fraction form
    362,368.50/500,051.76 = 201,233.84/x
  3. Step 3: Cross multiply
    362,368.50x = 500,051.76 × 201,233.84
  4. Step 4: Simplify right side
    362,368.50x = 100,627,335,863.56
  5. Step 5: Solve for x
    x = 100,627,335,863.56/362,368.50
  6. Step 6: Final answer
    x = 277,693.39

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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.