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Finding the Fourth Proportional to 260,013.20, 364,805.80 and 260,013.20

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Solution

The fourth proportional to 260,013.20, 364,805.80 and 260,013.20 is: 364,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.20 : 364,805.80 = 260,013.20 : x
  2. Step 2: Convert to fraction form
    260,013.20/364,805.80 = 260,013.20/x
  3. Step 3: Cross multiply
    260,013.20x = 364,805.80 × 260,013.20
  4. Step 4: Simplify right side
    260,013.20x = 94,854,323,436.56
  5. Step 5: Solve for x
    x = 94,854,323,436.56/260,013.20
  6. Step 6: Final answer
    x = 364,805.80

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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.