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Finding the Fourth Proportional to 304,216.41, 419,802.12 and 168,242.42

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Solution

The fourth proportional to 304,216.41, 419,802.12 and 168,242.42 is: 232,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,216.41 : 419,802.12 = 168,242.42 : x
  2. Step 2: Convert to fraction form
    304,216.41/419,802.12 = 168,242.42/x
  3. Step 3: Cross multiply
    304,216.41x = 419,802.12 × 168,242.42
  4. Step 4: Simplify right side
    304,216.41x = 70,628,522,490.92
  5. Step 5: Solve for x
    x = 70,628,522,490.92/304,216.41
  6. Step 6: Final answer
    x = 232,165.39

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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.