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Finding the Fourth Proportional to 304,502.68, 420,214.53 and 168,546

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Solution

The fourth proportional to 304,502.68, 420,214.53 and 168,546 is: 232,593.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,502.68 : 420,214.53 = 168,546 : x
  2. Step 2: Convert to fraction form
    304,502.68/420,214.53 = 168,546/x
  3. Step 3: Cross multiply
    304,502.68x = 420,214.53 × 168,546
  4. Step 4: Simplify right side
    304,502.68x = 70,825,478,173.38
  5. Step 5: Solve for x
    x = 70,825,478,173.38/304,502.68
  6. Step 6: Final answer
    x = 232,593.94

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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.