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Finding the Fourth Proportional to 314,511.40, 471,961.50 and 127,524.52

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Solution

The fourth proportional to 314,511.40, 471,961.50 and 127,524.52 is: 191,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,511.40 : 471,961.50 = 127,524.52 : x
  2. Step 2: Convert to fraction form
    314,511.40/471,961.50 = 127,524.52/x
  3. Step 3: Cross multiply
    314,511.40x = 471,961.50 × 127,524.52
  4. Step 4: Simplify right side
    314,511.40x = 60,186,663,745.98
  5. Step 5: Solve for x
    x = 60,186,663,745.98/314,511.40
  6. Step 6: Final answer
    x = 191,365.60

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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.