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Finding the Fourth Proportional to 304,317.24, 419,983.56 and 168,384.24

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Solution

The fourth proportional to 304,317.24, 419,983.56 and 168,384.24 is: 232,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,317.24 : 419,983.56 = 168,384.24 : x
  2. Step 2: Convert to fraction form
    304,317.24/419,983.56 = 168,384.24/x
  3. Step 3: Cross multiply
    304,317.24x = 419,983.56 × 168,384.24
  4. Step 4: Simplify right side
    304,317.24x = 70,718,612,563.09
  5. Step 5: Solve for x
    x = 70,718,612,563.09/304,317.24
  6. Step 6: Final answer
    x = 232,384.51

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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.