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Finding the Fourth Proportional to 304,502.82, 420,214.71 and 168,546.12

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Solution

The fourth proportional to 304,502.82, 420,214.71 and 168,546.12 is: 232,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,502.82 : 420,214.71 = 168,546.12 : x
  2. Step 2: Convert to fraction form
    304,502.82/420,214.71 = 168,546.12/x
  3. Step 3: Cross multiply
    304,502.82x = 420,214.71 × 168,546.12
  4. Step 4: Simplify right side
    304,502.82x = 70,825,558,937.43
  5. Step 5: Solve for x
    x = 70,825,558,937.43/304,502.82
  6. Step 6: Final answer
    x = 232,594.10

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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.