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Finding the Fourth Proportional to 468,272.64, 702,622.26 and 198,474.60

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Solution

The fourth proportional to 468,272.64, 702,622.26 and 198,474.60 is: 297,802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,272.64 : 702,622.26 = 198,474.60 : x
  2. Step 2: Convert to fraction form
    468,272.64/702,622.26 = 198,474.60/x
  3. Step 3: Cross multiply
    468,272.64x = 702,622.26 × 198,474.60
  4. Step 4: Simplify right side
    468,272.64x = 139,452,672,004.60
  5. Step 5: Solve for x
    x = 139,452,672,004.60/468,272.64
  6. Step 6: Final answer
    x = 297,802.31

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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.