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Finding the Fourth Proportional to 362,378.42, 500,083.12 and 201,233.47

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Solution

The fourth proportional to 362,378.42, 500,083.12 and 201,233.47 is: 277,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,378.42 : 500,083.12 = 201,233.47 : x
  2. Step 2: Convert to fraction form
    362,378.42/500,083.12 = 201,233.47/x
  3. Step 3: Cross multiply
    362,378.42x = 500,083.12 × 201,233.47
  4. Step 4: Simplify right side
    362,378.42x = 100,633,461,526.03
  5. Step 5: Solve for x
    x = 100,633,461,526.03/362,378.42
  6. Step 6: Final answer
    x = 277,702.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.