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Finding the Fourth Proportional to 362,827.14, 500,707.46 and 199,490.56

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Solution

The fourth proportional to 362,827.14, 500,707.46 and 199,490.56 is: 275,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,827.14 : 500,707.46 = 199,490.56 : x
  2. Step 2: Convert to fraction form
    362,827.14/500,707.46 = 199,490.56/x
  3. Step 3: Cross multiply
    362,827.14x = 500,707.46 × 199,490.56
  4. Step 4: Simplify right side
    362,827.14x = 99,886,411,591.58
  5. Step 5: Solve for x
    x = 99,886,411,591.58/362,827.14
  6. Step 6: Final answer
    x = 275,300.28

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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.