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Finding the Fourth Proportional to 786,744, 1,180,120.32 and 195,768

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Solution

The fourth proportional to 786,744, 1,180,120.32 and 195,768 is: 293,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,744 : 1,180,120.32 = 195,768 : x
  2. Step 2: Convert to fraction form
    786,744/1,180,120.32 = 195,768/x
  3. Step 3: Cross multiply
    786,744x = 1,180,120.32 × 195,768
  4. Step 4: Simplify right side
    786,744x = 231,029,794,805.76
  5. Step 5: Solve for x
    x = 231,029,794,805.76/786,744
  6. Step 6: Final answer
    x = 293,653.07

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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.