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Finding the Fourth Proportional to 304,974.51, 420,852.68 and 169,014.27

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Solution

The fourth proportional to 304,974.51, 420,852.68 and 169,014.27 is: 233,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,974.51 : 420,852.68 = 169,014.27 : x
  2. Step 2: Convert to fraction form
    304,974.51/420,852.68 = 169,014.27/x
  3. Step 3: Cross multiply
    304,974.51x = 420,852.68 × 169,014.27
  4. Step 4: Simplify right side
    304,974.51x = 71,130,107,642.67
  5. Step 5: Solve for x
    x = 71,130,107,642.67/304,974.51
  6. Step 6: Final answer
    x = 233,232.96

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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.