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Finding the Fourth Proportional to 468,453, 702,698.94 and 136,029

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Solution

The fourth proportional to 468,453, 702,698.94 and 136,029 is: 204,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,453 : 702,698.94 = 136,029 : x
  2. Step 2: Convert to fraction form
    468,453/702,698.94 = 136,029/x
  3. Step 3: Cross multiply
    468,453x = 702,698.94 × 136,029
  4. Step 4: Simplify right side
    468,453x = 95,587,434,109.26
  5. Step 5: Solve for x
    x = 95,587,434,109.26/468,453
  6. Step 6: Final answer
    x = 204,049.14

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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.