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Finding the Fourth Proportional to 468,491.14, 702,867.93 and 188,205.22

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Solution

The fourth proportional to 468,491.14, 702,867.93 and 188,205.22 is: 282,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,491.14 : 702,867.93 = 188,205.22 : x
  2. Step 2: Convert to fraction form
    468,491.14/702,867.93 = 188,205.22/x
  3. Step 3: Cross multiply
    468,491.14x = 702,867.93 × 188,205.22
  4. Step 4: Simplify right side
    468,491.14x = 132,283,413,396.60
  5. Step 5: Solve for x
    x = 132,283,413,396.60/468,491.14
  6. Step 6: Final answer
    x = 282,360.54

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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.