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Finding the Fourth Proportional to 297,091.34, 410,038.46 and 176,299.23

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Solution

The fourth proportional to 297,091.34, 410,038.46 and 176,299.23 is: 243,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,091.34 : 410,038.46 = 176,299.23 : x
  2. Step 2: Convert to fraction form
    297,091.34/410,038.46 = 176,299.23/x
  3. Step 3: Cross multiply
    297,091.34x = 410,038.46 × 176,299.23
  4. Step 4: Simplify right side
    297,091.34x = 72,289,464,767.14
  5. Step 5: Solve for x
    x = 72,289,464,767.14/297,091.34
  6. Step 6: Final answer
    x = 243,324.04

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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.