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Finding the Fourth Proportional to 364,324.22, 542,823.32 and 343,952.31

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Solution

The fourth proportional to 364,324.22, 542,823.32 and 343,952.31 is: 512,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,324.22 : 542,823.32 = 343,952.31 : x
  2. Step 2: Convert to fraction form
    364,324.22/542,823.32 = 343,952.31/x
  3. Step 3: Cross multiply
    364,324.22x = 542,823.32 × 343,952.31
  4. Step 4: Simplify right side
    364,324.22x = 186,705,334,835.87
  5. Step 5: Solve for x
    x = 186,705,334,835.87/364,324.22
  6. Step 6: Final answer
    x = 512,470.28

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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.