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Finding the Fourth Proportional to 589,458.78, 813,453.12 and 321,186.78

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Solution

The fourth proportional to 589,458.78, 813,453.12 and 321,186.78 is: 443,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,458.78 : 813,453.12 = 321,186.78 : x
  2. Step 2: Convert to fraction form
    589,458.78/813,453.12 = 321,186.78/x
  3. Step 3: Cross multiply
    589,458.78x = 813,453.12 × 321,186.78
  4. Step 4: Simplify right side
    589,458.78x = 261,270,388,293.75
  5. Step 5: Solve for x
    x = 261,270,388,293.75/589,458.78
  6. Step 6: Final answer
    x = 443,237.76

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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.