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Finding the Fourth Proportional to 522,538, 783,847.50 and 162,663.64

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Solution

The fourth proportional to 522,538, 783,847.50 and 162,663.64 is: 244,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,538 : 783,847.50 = 162,663.64 : x
  2. Step 2: Convert to fraction form
    522,538/783,847.50 = 162,663.64/x
  3. Step 3: Cross multiply
    522,538x = 783,847.50 × 162,663.64
  4. Step 4: Simplify right side
    522,538x = 127,503,487,554.90
  5. Step 5: Solve for x
    x = 127,503,487,554.90/522,538
  6. Step 6: Final answer
    x = 244,008.07

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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.