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Finding the Fourth Proportional to 362,609.30, 500,389.98 and 199,266.32

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Solution

The fourth proportional to 362,609.30, 500,389.98 and 199,266.32 is: 274,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,609.30 : 500,389.98 = 199,266.32 : x
  2. Step 2: Convert to fraction form
    362,609.30/500,389.98 = 199,266.32/x
  3. Step 3: Cross multiply
    362,609.30x = 500,389.98 × 199,266.32
  4. Step 4: Simplify right side
    362,609.30x = 99,710,869,879.47
  5. Step 5: Solve for x
    x = 99,710,869,879.47/362,609.30
  6. Step 6: Final answer
    x = 274,981.56

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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.