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Finding the Fourth Proportional to 294,731.44, 406,732.44 and 160,595.44

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Solution

The fourth proportional to 294,731.44, 406,732.44 and 160,595.44 is: 221,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,731.44 : 406,732.44 = 160,595.44 : x
  2. Step 2: Convert to fraction form
    294,731.44/406,732.44 = 160,595.44/x
  3. Step 3: Cross multiply
    294,731.44x = 406,732.44 × 160,595.44
  4. Step 4: Simplify right side
    294,731.44x = 65,319,375,164.07
  5. Step 5: Solve for x
    x = 65,319,375,164.07/294,731.44
  6. Step 6: Final answer
    x = 221,623.37

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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.