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Finding the Fourth Proportional to 362,442.34, 500,176.61 and 199,105.72

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Solution

The fourth proportional to 362,442.34, 500,176.61 and 199,105.72 is: 274,769.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,442.34 : 500,176.61 = 199,105.72 : x
  2. Step 2: Convert to fraction form
    362,442.34/500,176.61 = 199,105.72/x
  3. Step 3: Cross multiply
    362,442.34x = 500,176.61 × 199,105.72
  4. Step 4: Simplify right side
    362,442.34x = 99,588,024,061.21
  5. Step 5: Solve for x
    x = 99,588,024,061.21/362,442.34
  6. Step 6: Final answer
    x = 274,769.29

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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.