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Finding the Fourth Proportional to 260,097.40, 364,836.20 and 260,097.40

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Solution

The fourth proportional to 260,097.40, 364,836.20 and 260,097.40 is: 364,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.40 : 364,836.20 = 260,097.40 : x
  2. Step 2: Convert to fraction form
    260,097.40/364,836.20 = 260,097.40/x
  3. Step 3: Cross multiply
    260,097.40x = 364,836.20 × 260,097.40
  4. Step 4: Simplify right side
    260,097.40x = 94,892,947,045.88
  5. Step 5: Solve for x
    x = 94,892,947,045.88/260,097.40
  6. Step 6: Final answer
    x = 364,836.20

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Why These Related Problems?

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