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Finding the Fourth Proportional to 294,273.38, 406,069.20 and 165,182.29

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Solution

The fourth proportional to 294,273.38, 406,069.20 and 165,182.29 is: 227,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,273.38 : 406,069.20 = 165,182.29 : x
  2. Step 2: Convert to fraction form
    294,273.38/406,069.20 = 165,182.29/x
  3. Step 3: Cross multiply
    294,273.38x = 406,069.20 × 165,182.29
  4. Step 4: Simplify right side
    294,273.38x = 67,075,439,339.30
  5. Step 5: Solve for x
    x = 67,075,439,339.30/294,273.38
  6. Step 6: Final answer
    x = 227,935.80

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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.