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Finding the Fourth Proportional to 978,857.70, 1,468,117.23 and 259,209.75

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Solution

The fourth proportional to 978,857.70, 1,468,117.23 and 259,209.75 is: 388,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,857.70 : 1,468,117.23 = 259,209.75 : x
  2. Step 2: Convert to fraction form
    978,857.70/1,468,117.23 = 259,209.75/x
  3. Step 3: Cross multiply
    978,857.70x = 1,468,117.23 × 259,209.75
  4. Step 4: Simplify right side
    978,857.70x = 380,550,300,158.99
  5. Step 5: Solve for x
    x = 380,550,300,158.99/978,857.70
  6. Step 6: Final answer
    x = 388,769.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.