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Finding the Fourth Proportional to 402,523.42, 554,910.60 and 320,129.34

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Solution

The fourth proportional to 402,523.42, 554,910.60 and 320,129.34 is: 441,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,523.42 : 554,910.60 = 320,129.34 : x
  2. Step 2: Convert to fraction form
    402,523.42/554,910.60 = 320,129.34/x
  3. Step 3: Cross multiply
    402,523.42x = 554,910.60 × 320,129.34
  4. Step 4: Simplify right side
    402,523.42x = 177,643,164,137.00
  5. Step 5: Solve for x
    x = 177,643,164,137.00/402,523.42
  6. Step 6: Final answer
    x = 441,323.80

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