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Finding the Fourth Proportional to 294,424.80, 406,273.94 and 165,337.12

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Solution

The fourth proportional to 294,424.80, 406,273.94 and 165,337.12 is: 228,147.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,424.80 : 406,273.94 = 165,337.12 : x
  2. Step 2: Convert to fraction form
    294,424.80/406,273.94 = 165,337.12/x
  3. Step 3: Cross multiply
    294,424.80x = 406,273.94 × 165,337.12
  4. Step 4: Simplify right side
    294,424.80x = 67,172,163,170.65
  5. Step 5: Solve for x
    x = 67,172,163,170.65/294,424.80
  6. Step 6: Final answer
    x = 228,147.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.