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Finding the Fourth Proportional to 468,441, 702,680.94 and 136,017

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Solution

The fourth proportional to 468,441, 702,680.94 and 136,017 is: 204,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,441 : 702,680.94 = 136,017 : x
  2. Step 2: Convert to fraction form
    468,441/702,680.94 = 136,017/x
  3. Step 3: Cross multiply
    468,441x = 702,680.94 × 136,017
  4. Step 4: Simplify right side
    468,441x = 95,576,553,415.98
  5. Step 5: Solve for x
    x = 95,576,553,415.98/468,441
  6. Step 6: Final answer
    x = 204,031.14

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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.