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Finding the Fourth Proportional to 259,866.40, 364,512.80 and 259,866.40

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Solution

The fourth proportional to 259,866.40, 364,512.80 and 259,866.40 is: 364,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,866.40 : 364,512.80 = 259,866.40 : x
  2. Step 2: Convert to fraction form
    259,866.40/364,512.80 = 259,866.40/x
  3. Step 3: Cross multiply
    259,866.40x = 364,512.80 × 259,866.40
  4. Step 4: Simplify right side
    259,866.40x = 94,724,629,089.92
  5. Step 5: Solve for x
    x = 94,724,629,089.92/259,866.40
  6. Step 6: Final answer
    x = 364,512.80

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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.