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Finding the Fourth Proportional to 297,243.60, 410,229.96 and 178,011.60

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Solution

The fourth proportional to 297,243.60, 410,229.96 and 178,011.60 is: 245,676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,243.60 : 410,229.96 = 178,011.60 : x
  2. Step 2: Convert to fraction form
    297,243.60/410,229.96 = 178,011.60/x
  3. Step 3: Cross multiply
    297,243.60x = 410,229.96 × 178,011.60
  4. Step 4: Simplify right side
    297,243.60x = 73,025,691,547.54
  5. Step 5: Solve for x
    x = 73,025,691,547.54/297,243.60
  6. Step 6: Final answer
    x = 245,676.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.