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Finding the Fourth Proportional to 443,712.84, 665,089.32 and 177,180.30

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Solution

The fourth proportional to 443,712.84, 665,089.32 and 177,180.30 is: 265,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,712.84 : 665,089.32 = 177,180.30 : x
  2. Step 2: Convert to fraction form
    443,712.84/665,089.32 = 177,180.30/x
  3. Step 3: Cross multiply
    443,712.84x = 665,089.32 × 177,180.30
  4. Step 4: Simplify right side
    443,712.84x = 117,840,725,244.40
  5. Step 5: Solve for x
    x = 117,840,725,244.40/443,712.84
  6. Step 6: Final answer
    x = 265,578.80

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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.