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Finding the Fourth Proportional to 519,801.95, 778,899.24 and 405,679.16

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Solution

The fourth proportional to 519,801.95, 778,899.24 and 405,679.16 is: 607,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,801.95 : 778,899.24 = 405,679.16 : x
  2. Step 2: Convert to fraction form
    519,801.95/778,899.24 = 405,679.16/x
  3. Step 3: Cross multiply
    519,801.95x = 778,899.24 × 405,679.16
  4. Step 4: Simplify right side
    519,801.95x = 315,983,191,355.09
  5. Step 5: Solve for x
    x = 315,983,191,355.09/519,801.95
  6. Step 6: Final answer
    x = 607,891.51

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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.