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Finding the Fourth Proportional to 468,422.64, 702,131.04 and 202,308.48

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Solution

The fourth proportional to 468,422.64, 702,131.04 and 202,308.48 is: 303,245.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,422.64 : 702,131.04 = 202,308.48 : x
  2. Step 2: Convert to fraction form
    468,422.64/702,131.04 = 202,308.48/x
  3. Step 3: Cross multiply
    468,422.64x = 702,131.04 × 202,308.48
  4. Step 4: Simplify right side
    468,422.64x = 142,047,063,463.22
  5. Step 5: Solve for x
    x = 142,047,063,463.22/468,422.64
  6. Step 6: Final answer
    x = 303,245.51

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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.