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Finding the Fourth Proportional to 412,801.20, 619,201.80 and 293,226.98

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Solution

The fourth proportional to 412,801.20, 619,201.80 and 293,226.98 is: 439,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,801.20 : 619,201.80 = 293,226.98 : x
  2. Step 2: Convert to fraction form
    412,801.20/619,201.80 = 293,226.98/x
  3. Step 3: Cross multiply
    412,801.20x = 619,201.80 × 293,226.98
  4. Step 4: Simplify right side
    412,801.20x = 181,566,670,728.56
  5. Step 5: Solve for x
    x = 181,566,670,728.56/412,801.20
  6. Step 6: Final answer
    x = 439,840.46

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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.