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Finding the Fourth Proportional to 470,180.80, 704,234.40 and 248,305.60

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Solution

The fourth proportional to 470,180.80, 704,234.40 and 248,305.60 is: 371,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,180.80 : 704,234.40 = 248,305.60 : x
  2. Step 2: Convert to fraction form
    470,180.80/704,234.40 = 248,305.60/x
  3. Step 3: Cross multiply
    470,180.80x = 704,234.40 × 248,305.60
  4. Step 4: Simplify right side
    470,180.80x = 174,865,345,232.64
  5. Step 5: Solve for x
    x = 174,865,345,232.64/470,180.80
  6. Step 6: Final answer
    x = 371,910.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.