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Finding the Fourth Proportional to 450,378.36, 675,186 and 197,467.18

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Solution

The fourth proportional to 450,378.36, 675,186 and 197,467.18 is: 296,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,378.36 : 675,186 = 197,467.18 : x
  2. Step 2: Convert to fraction form
    450,378.36/675,186 = 197,467.18/x
  3. Step 3: Cross multiply
    450,378.36x = 675,186 × 197,467.18
  4. Step 4: Simplify right side
    450,378.36x = 133,327,075,395.48
  5. Step 5: Solve for x
    x = 133,327,075,395.48/450,378.36
  6. Step 6: Final answer
    x = 296,033.48

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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.