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Finding the Fourth Proportional to 827,652, 1,142,160.96 and 469,956

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Solution

The fourth proportional to 827,652, 1,142,160.96 and 469,956 is: 648,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,652 : 1,142,160.96 = 469,956 : x
  2. Step 2: Convert to fraction form
    827,652/1,142,160.96 = 469,956/x
  3. Step 3: Cross multiply
    827,652x = 1,142,160.96 × 469,956
  4. Step 4: Simplify right side
    827,652x = 536,765,396,117.76
  5. Step 5: Solve for x
    x = 536,765,396,117.76/827,652
  6. Step 6: Final answer
    x = 648,539.96

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Why These Related Problems?

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