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Finding the Fourth Proportional to 297,245.76, 410,172 and 176,366.24

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Solution

The fourth proportional to 297,245.76, 410,172 and 176,366.24 is: 243,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,245.76 : 410,172 = 176,366.24 : x
  2. Step 2: Convert to fraction form
    297,245.76/410,172 = 176,366.24/x
  3. Step 3: Cross multiply
    297,245.76x = 410,172 × 176,366.24
  4. Step 4: Simplify right side
    297,245.76x = 72,340,493,393.28
  5. Step 5: Solve for x
    x = 72,340,493,393.28/297,245.76
  6. Step 6: Final answer
    x = 243,369.30

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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.