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Finding the Fourth Proportional to 540,076.95, 809,354.84 and 413,226.09

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Solution

The fourth proportional to 540,076.95, 809,354.84 and 413,226.09 is: 619,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,076.95 : 809,354.84 = 413,226.09 : x
  2. Step 2: Convert to fraction form
    540,076.95/809,354.84 = 413,226.09/x
  3. Step 3: Cross multiply
    540,076.95x = 809,354.84 × 413,226.09
  4. Step 4: Simplify right side
    540,076.95x = 334,446,533,889.65
  5. Step 5: Solve for x
    x = 334,446,533,889.65/540,076.95
  6. Step 6: Final answer
    x = 619,257.19

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