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Finding the Fourth Proportional to 304,320, 419,963.04 and 170,184

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Solution

The fourth proportional to 304,320, 419,963.04 and 170,184 is: 234,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,320 : 419,963.04 = 170,184 : x
  2. Step 2: Convert to fraction form
    304,320/419,963.04 = 170,184/x
  3. Step 3: Cross multiply
    304,320x = 419,963.04 × 170,184
  4. Step 4: Simplify right side
    304,320x = 71,470,989,999.36
  5. Step 5: Solve for x
    x = 71,470,989,999.36/304,320
  6. Step 6: Final answer
    x = 234,854.73

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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.