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Finding the Fourth Proportional to 297,305.96, 410,254.74 and 176,426.36

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Solution

The fourth proportional to 297,305.96, 410,254.74 and 176,426.36 is: 243,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,305.96 : 410,254.74 = 176,426.36 : x
  2. Step 2: Convert to fraction form
    297,305.96/410,254.74 = 176,426.36/x
  3. Step 3: Cross multiply
    297,305.96x = 410,254.74 × 176,426.36
  4. Step 4: Simplify right side
    297,305.96x = 72,379,750,450.95
  5. Step 5: Solve for x
    x = 72,379,750,450.95/297,305.96
  6. Step 6: Final answer
    x = 243,452.07

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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.