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Finding the Fourth Proportional to 462,893.56, 693,219.04 and 320,339.36

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Solution

The fourth proportional to 462,893.56, 693,219.04 and 320,339.36 is: 479,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,893.56 : 693,219.04 = 320,339.36 : x
  2. Step 2: Convert to fraction form
    462,893.56/693,219.04 = 320,339.36/x
  3. Step 3: Cross multiply
    462,893.56x = 693,219.04 × 320,339.36
  4. Step 4: Simplify right side
    462,893.56x = 222,065,343,613.41
  5. Step 5: Solve for x
    x = 222,065,343,613.41/462,893.56
  6. Step 6: Final answer
    x = 479,733.06

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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.