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Finding the Fourth Proportional to 443,534.27, 665,448.89 and 144,024.62

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Solution

The fourth proportional to 443,534.27, 665,448.89 and 144,024.62 is: 216,084.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,534.27 : 665,448.89 = 144,024.62 : x
  2. Step 2: Convert to fraction form
    443,534.27/665,448.89 = 144,024.62/x
  3. Step 3: Cross multiply
    443,534.27x = 665,448.89 × 144,024.62
  4. Step 4: Simplify right side
    443,534.27x = 95,841,019,464.30
  5. Step 5: Solve for x
    x = 95,841,019,464.30/443,534.27
  6. Step 6: Final answer
    x = 216,084.81

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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.