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Finding the Fourth Proportional to 526,595.95, 789,414.09 and 189,557.38

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Solution

The fourth proportional to 526,595.95, 789,414.09 and 189,557.38 is: 284,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,595.95 : 789,414.09 = 189,557.38 : x
  2. Step 2: Convert to fraction form
    526,595.95/789,414.09 = 189,557.38/x
  3. Step 3: Cross multiply
    526,595.95x = 789,414.09 × 189,557.38
  4. Step 4: Simplify right side
    526,595.95x = 149,639,266,635.48
  5. Step 5: Solve for x
    x = 149,639,266,635.48/526,595.95
  6. Step 6: Final answer
    x = 284,163.35

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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.