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Finding the Fourth Proportional to 468,499.90, 702,300.91 and 198,256.29

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Solution

The fourth proportional to 468,499.90, 702,300.91 and 198,256.29 is: 297,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,499.90 : 702,300.91 = 198,256.29 : x
  2. Step 2: Convert to fraction form
    468,499.90/702,300.91 = 198,256.29/x
  3. Step 3: Cross multiply
    468,499.90x = 702,300.91 × 198,256.29
  4. Step 4: Simplify right side
    468,499.90x = 139,235,568,377.44
  5. Step 5: Solve for x
    x = 139,235,568,377.44/468,499.90
  6. Step 6: Final answer
    x = 297,194.45

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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.