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Finding the Fourth Proportional to 260,037.20, 364,839.40 and 260,037.20

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Solution

The fourth proportional to 260,037.20, 364,839.40 and 260,037.20 is: 364,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037.20 : 364,839.40 = 260,037.20 : x
  2. Step 2: Convert to fraction form
    260,037.20/364,839.40 = 260,037.20/x
  3. Step 3: Cross multiply
    260,037.20x = 364,839.40 × 260,037.20
  4. Step 4: Simplify right side
    260,037.20x = 94,871,816,025.68
  5. Step 5: Solve for x
    x = 94,871,816,025.68/260,037.20
  6. Step 6: Final answer
    x = 364,839.40

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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.