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Finding the Fourth Proportional to 462,884.42, 693,205.56 and 320,330.36

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Solution

The fourth proportional to 462,884.42, 693,205.56 and 320,330.36 is: 479,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,884.42 : 693,205.56 = 320,330.36 : x
  2. Step 2: Convert to fraction form
    462,884.42/693,205.56 = 320,330.36/x
  3. Step 3: Cross multiply
    462,884.42x = 693,205.56 × 320,330.36
  4. Step 4: Simplify right side
    462,884.42x = 222,054,786,588.80
  5. Step 5: Solve for x
    x = 222,054,786,588.80/462,884.42
  6. Step 6: Final answer
    x = 479,719.72

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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.