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Finding the Fourth Proportional to 260,743.20, 365,827.80 and 260,743.20

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Solution

The fourth proportional to 260,743.20, 365,827.80 and 260,743.20 is: 365,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,743.20 : 365,827.80 = 260,743.20 : x
  2. Step 2: Convert to fraction form
    260,743.20/365,827.80 = 260,743.20/x
  3. Step 3: Cross multiply
    260,743.20x = 365,827.80 × 260,743.20
  4. Step 4: Simplify right side
    260,743.20x = 95,387,111,220.96
  5. Step 5: Solve for x
    x = 95,387,111,220.96/260,743.20
  6. Step 6: Final answer
    x = 365,827.80

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.