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Finding the Fourth Proportional to 433,647.28, 650,325 and 145,400.56

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Solution

The fourth proportional to 433,647.28, 650,325 and 145,400.56 is: 218,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,647.28 : 650,325 = 145,400.56 : x
  2. Step 2: Convert to fraction form
    433,647.28/650,325 = 145,400.56/x
  3. Step 3: Cross multiply
    433,647.28x = 650,325 × 145,400.56
  4. Step 4: Simplify right side
    433,647.28x = 94,557,619,182
  5. Step 5: Solve for x
    x = 94,557,619,182/433,647.28
  6. Step 6: Final answer
    x = 218,051.91

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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.