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Finding the Fourth Proportional to 292,732.76, 403,965.96 and 165,405.62

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Solution

The fourth proportional to 292,732.76, 403,965.96 and 165,405.62 is: 228,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,732.76 : 403,965.96 = 165,405.62 : x
  2. Step 2: Convert to fraction form
    292,732.76/403,965.96 = 165,405.62/x
  3. Step 3: Cross multiply
    292,732.76x = 403,965.96 × 165,405.62
  4. Step 4: Simplify right side
    292,732.76x = 66,818,240,072.70
  5. Step 5: Solve for x
    x = 66,818,240,072.70/292,732.76
  6. Step 6: Final answer
    x = 228,256.79

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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.