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Finding the Fourth Proportional to 304,702.44, 420,484.20 and 168,733.46

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Solution

The fourth proportional to 304,702.44, 420,484.20 and 168,733.46 is: 232,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,702.44 : 420,484.20 = 168,733.46 : x
  2. Step 2: Convert to fraction form
    304,702.44/420,484.20 = 168,733.46/x
  3. Step 3: Cross multiply
    304,702.44x = 420,484.20 × 168,733.46
  4. Step 4: Simplify right side
    304,702.44x = 70,949,753,941.33
  5. Step 5: Solve for x
    x = 70,949,753,941.33/304,702.44
  6. Step 6: Final answer
    x = 232,849.31

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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.