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Finding the Fourth Proportional to 320,816.70, 481,570.65 and 180,848.70

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Solution

The fourth proportional to 320,816.70, 481,570.65 and 180,848.70 is: 271,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,816.70 : 481,570.65 = 180,848.70 : x
  2. Step 2: Convert to fraction form
    320,816.70/481,570.65 = 180,848.70/x
  3. Step 3: Cross multiply
    320,816.70x = 481,570.65 × 180,848.70
  4. Step 4: Simplify right side
    320,816.70x = 87,091,426,010.66
  5. Step 5: Solve for x
    x = 87,091,426,010.66/320,816.70
  6. Step 6: Final answer
    x = 271,467.87

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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.