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Finding the Fourth Proportional to 333,914.44, 460,802.46 and 196,066.72

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Solution

The fourth proportional to 333,914.44, 460,802.46 and 196,066.72 is: 270,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,914.44 : 460,802.46 = 196,066.72 : x
  2. Step 2: Convert to fraction form
    333,914.44/460,802.46 = 196,066.72/x
  3. Step 3: Cross multiply
    333,914.44x = 460,802.46 × 196,066.72
  4. Step 4: Simplify right side
    333,914.44x = 90,348,026,900.13
  5. Step 5: Solve for x
    x = 90,348,026,900.13/333,914.44
  6. Step 6: Final answer
    x = 270,572.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.