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Finding the Fourth Proportional to 362,938.47, 500,854.64 and 201,788.43

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Solution

The fourth proportional to 362,938.47, 500,854.64 and 201,788.43 is: 278,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,938.47 : 500,854.64 = 201,788.43 : x
  2. Step 2: Convert to fraction form
    362,938.47/500,854.64 = 201,788.43/x
  3. Step 3: Cross multiply
    362,938.47x = 500,854.64 × 201,788.43
  4. Step 4: Simplify right side
    362,938.47x = 101,066,670,454.87
  5. Step 5: Solve for x
    x = 101,066,670,454.87/362,938.47
  6. Step 6: Final answer
    x = 278,467.78

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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.