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Finding the Fourth Proportional to 393,184.86, 542,664.96 and 232,028.49

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Solution

The fourth proportional to 393,184.86, 542,664.96 and 232,028.49 is: 320,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,184.86 : 542,664.96 = 232,028.49 : x
  2. Step 2: Convert to fraction form
    393,184.86/542,664.96 = 232,028.49/x
  3. Step 3: Cross multiply
    393,184.86x = 542,664.96 × 232,028.49
  4. Step 4: Simplify right side
    393,184.86x = 125,913,731,244.71
  5. Step 5: Solve for x
    x = 125,913,731,244.71/393,184.86
  6. Step 6: Final answer
    x = 320,240.54

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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.