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Finding the Fourth Proportional to 409,804.88, 614,559.54 and 173,165.90

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Solution

The fourth proportional to 409,804.88, 614,559.54 and 173,165.90 is: 259,686.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,804.88 : 614,559.54 = 173,165.90 : x
  2. Step 2: Convert to fraction form
    409,804.88/614,559.54 = 173,165.90/x
  3. Step 3: Cross multiply
    409,804.88x = 614,559.54 × 173,165.90
  4. Step 4: Simplify right side
    409,804.88x = 106,420,755,847.69
  5. Step 5: Solve for x
    x = 106,420,755,847.69/409,804.88
  6. Step 6: Final answer
    x = 259,686.40

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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.