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Finding the Fourth Proportional to 304,276.82, 419,869.68 and 168,289.16

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Solution

The fourth proportional to 304,276.82, 419,869.68 and 168,289.16 is: 232,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,276.82 : 419,869.68 = 168,289.16 : x
  2. Step 2: Convert to fraction form
    304,276.82/419,869.68 = 168,289.16/x
  3. Step 3: Cross multiply
    304,276.82x = 419,869.68 × 168,289.16
  4. Step 4: Simplify right side
    304,276.82x = 70,659,513,657.32
  5. Step 5: Solve for x
    x = 70,659,513,657.32/304,276.82
  6. Step 6: Final answer
    x = 232,221.16

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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.