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Finding the Fourth Proportional to 304,286.51, 456,692.21 and 117,429.23

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Solution

The fourth proportional to 304,286.51, 456,692.21 and 117,429.23 is: 176,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,286.51 : 456,692.21 = 117,429.23 : x
  2. Step 2: Convert to fraction form
    304,286.51/456,692.21 = 117,429.23/x
  3. Step 3: Cross multiply
    304,286.51x = 456,692.21 × 117,429.23
  4. Step 4: Simplify right side
    304,286.51x = 53,629,014,567.30
  5. Step 5: Solve for x
    x = 53,629,014,567.30/304,286.51
  6. Step 6: Final answer
    x = 176,245.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.