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Finding the Fourth Proportional to 443,821.38, 612,484.29 and 269,393.58

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Solution

The fourth proportional to 443,821.38, 612,484.29 and 269,393.58 is: 371,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,821.38 : 612,484.29 = 269,393.58 : x
  2. Step 2: Convert to fraction form
    443,821.38/612,484.29 = 269,393.58/x
  3. Step 3: Cross multiply
    443,821.38x = 612,484.29 × 269,393.58
  4. Step 4: Simplify right side
    443,821.38x = 164,999,335,576.86
  5. Step 5: Solve for x
    x = 164,999,335,576.86/443,821.38
  6. Step 6: Final answer
    x = 371,769.69

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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.