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Finding the Fourth Proportional to 320,432.37, 481,064.09 and 214,494.09

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Solution

The fourth proportional to 320,432.37, 481,064.09 and 214,494.09 is: 322,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,432.37 : 481,064.09 = 214,494.09 : x
  2. Step 2: Convert to fraction form
    320,432.37/481,064.09 = 214,494.09/x
  3. Step 3: Cross multiply
    320,432.37x = 481,064.09 × 214,494.09
  4. Step 4: Simplify right side
    320,432.37x = 103,185,403,143.76
  5. Step 5: Solve for x
    x = 103,185,403,143.76/320,432.37
  6. Step 6: Final answer
    x = 322,019.29

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1.5x scale

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.