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Finding the Fourth Proportional to 538,802.91, 743,495.43 and 332,039.16

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Solution

The fourth proportional to 538,802.91, 743,495.43 and 332,039.16 is: 458,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,802.91 : 743,495.43 = 332,039.16 : x
  2. Step 2: Convert to fraction form
    538,802.91/743,495.43 = 332,039.16/x
  3. Step 3: Cross multiply
    538,802.91x = 743,495.43 × 332,039.16
  4. Step 4: Simplify right side
    538,802.91x = 246,869,598,041.04
  5. Step 5: Solve for x
    x = 246,869,598,041.04/538,802.91
  6. Step 6: Final answer
    x = 458,181.63

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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.