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Finding the Fourth Proportional to 443,208.60, 664,424.10 and 265,786.20

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Solution

The fourth proportional to 443,208.60, 664,424.10 and 265,786.20 is: 398,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,208.60 : 664,424.10 = 265,786.20 : x
  2. Step 2: Convert to fraction form
    443,208.60/664,424.10 = 265,786.20/x
  3. Step 3: Cross multiply
    443,208.60x = 664,424.10 × 265,786.20
  4. Step 4: Simplify right side
    443,208.60x = 176,594,756,727.42
  5. Step 5: Solve for x
    x = 176,594,756,727.42/443,208.60
  6. Step 6: Final answer
    x = 398,446.14

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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.