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Finding the Fourth Proportional to 832,164.50, 1,148,375.80 and 464,647.34

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Solution

The fourth proportional to 832,164.50, 1,148,375.80 and 464,647.34 is: 641,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,164.50 : 1,148,375.80 = 464,647.34 : x
  2. Step 2: Convert to fraction form
    832,164.50/1,148,375.80 = 464,647.34/x
  3. Step 3: Cross multiply
    832,164.50x = 1,148,375.80 × 464,647.34
  4. Step 4: Simplify right side
    832,164.50x = 533,589,753,886.88
  5. Step 5: Solve for x
    x = 533,589,753,886.88/832,164.50
  6. Step 6: Final answer
    x = 641,207.07

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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.