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Finding the Fourth Proportional to 364,323.22, 542,821.83 and 343,951.31

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Solution

The fourth proportional to 364,323.22, 542,821.83 and 343,951.31 is: 512,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,323.22 : 542,821.83 = 343,951.31 : x
  2. Step 2: Convert to fraction form
    364,323.22/542,821.83 = 343,951.31/x
  3. Step 3: Cross multiply
    364,323.22x = 542,821.83 × 343,951.31
  4. Step 4: Simplify right side
    364,323.22x = 186,704,280,559.70
  5. Step 5: Solve for x
    x = 186,704,280,559.70/364,323.22
  6. Step 6: Final answer
    x = 512,468.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.