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Finding the Fourth Proportional to 443,924.24, 665,892.50 and 144,406.38

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Solution

The fourth proportional to 443,924.24, 665,892.50 and 144,406.38 is: 216,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,924.24 : 665,892.50 = 144,406.38 : x
  2. Step 2: Convert to fraction form
    443,924.24/665,892.50 = 144,406.38/x
  3. Step 3: Cross multiply
    443,924.24x = 665,892.50 × 144,406.38
  4. Step 4: Simplify right side
    443,924.24x = 96,159,125,394.15
  5. Step 5: Solve for x
    x = 96,159,125,394.15/443,924.24
  6. Step 6: Final answer
    x = 216,611.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.