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Finding the Fourth Proportional to 526,645.96, 789,782.10 and 189,596.11

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Solution

The fourth proportional to 526,645.96, 789,782.10 and 189,596.11 is: 284,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,645.96 : 789,782.10 = 189,596.11 : x
  2. Step 2: Convert to fraction form
    526,645.96/789,782.10 = 189,596.11/x
  3. Step 3: Cross multiply
    526,645.96x = 789,782.10 × 189,596.11
  4. Step 4: Simplify right side
    526,645.96x = 149,739,617,268.15
  5. Step 5: Solve for x
    x = 149,739,617,268.15/526,645.96
  6. Step 6: Final answer
    x = 284,326.91

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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.