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Finding the Fourth Proportional to 832,164.37, 1,148,375.63 and 464,647.21

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Solution

The fourth proportional to 832,164.37, 1,148,375.63 and 464,647.21 is: 641,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,164.37 : 1,148,375.63 = 464,647.21 : x
  2. Step 2: Convert to fraction form
    832,164.37/1,148,375.63 = 464,647.21/x
  3. Step 3: Cross multiply
    832,164.37x = 1,148,375.63 × 464,647.21
  4. Step 4: Simplify right side
    832,164.37x = 533,589,530,188.26
  5. Step 5: Solve for x
    x = 533,589,530,188.26/832,164.37
  6. Step 6: Final answer
    x = 641,206.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.