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Finding the Fourth Proportional to 362,803.60, 500,647.53 and 201,653.11

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Solution

The fourth proportional to 362,803.60, 500,647.53 and 201,653.11 is: 278,269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,803.60 : 500,647.53 = 201,653.11 : x
  2. Step 2: Convert to fraction form
    362,803.60/500,647.53 = 201,653.11/x
  3. Step 3: Cross multiply
    362,803.60x = 500,647.53 × 201,653.11
  4. Step 4: Simplify right side
    362,803.60x = 100,957,131,438.32
  5. Step 5: Solve for x
    x = 100,957,131,438.32/362,803.60
  6. Step 6: Final answer
    x = 278,269.38

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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.