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Finding the Fourth Proportional to 294,444.45, 406,302.83 and 165,397.41

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Solution

The fourth proportional to 294,444.45, 406,302.83 and 165,397.41 is: 228,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,444.45 : 406,302.83 = 165,397.41 : x
  2. Step 2: Convert to fraction form
    294,444.45/406,302.83 = 165,397.41/x
  3. Step 3: Cross multiply
    294,444.45x = 406,302.83 × 165,397.41
  4. Step 4: Simplify right side
    294,444.45x = 67,201,434,930.68
  5. Step 5: Solve for x
    x = 67,201,434,930.68/294,444.45
  6. Step 6: Final answer
    x = 228,231.28

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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.