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Finding the Fourth Proportional to 304,214.54, 419,813.42 and 168,245.57

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Solution

The fourth proportional to 304,214.54, 419,813.42 and 168,245.57 is: 232,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,214.54 : 419,813.42 = 168,245.57 : x
  2. Step 2: Convert to fraction form
    304,214.54/419,813.42 = 168,245.57/x
  3. Step 3: Cross multiply
    304,214.54x = 419,813.42 × 168,245.57
  4. Step 4: Simplify right side
    304,214.54x = 70,631,748,349.86
  5. Step 5: Solve for x
    x = 70,631,748,349.86/304,214.54
  6. Step 6: Final answer
    x = 232,177.43

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1.5x scale

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.