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Finding the Fourth Proportional to 443,405.40, 665,108.10 and 301,687.80

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Solution

The fourth proportional to 443,405.40, 665,108.10 and 301,687.80 is: 452,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,405.40 : 665,108.10 = 301,687.80 : x
  2. Step 2: Convert to fraction form
    443,405.40/665,108.10 = 301,687.80/x
  3. Step 3: Cross multiply
    443,405.40x = 665,108.10 × 301,687.80
  4. Step 4: Simplify right side
    443,405.40x = 200,654,999,451.18
  5. Step 5: Solve for x
    x = 200,654,999,451.18/443,405.40
  6. Step 6: Final answer
    x = 452,531.70

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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.