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Finding the Fourth Proportional to 702,575.82, 969,736.29 and 458,169.81

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Solution

The fourth proportional to 702,575.82, 969,736.29 and 458,169.81 is: 632,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,575.82 : 969,736.29 = 458,169.81 : x
  2. Step 2: Convert to fraction form
    702,575.82/969,736.29 = 458,169.81/x
  3. Step 3: Cross multiply
    702,575.82x = 969,736.29 × 458,169.81
  4. Step 4: Simplify right side
    702,575.82x = 444,303,891,739.41
  5. Step 5: Solve for x
    x = 444,303,891,739.41/702,575.82
  6. Step 6: Final answer
    x = 632,392.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.