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Finding the Fourth Proportional to 362,649.40, 500,527.86 and 231,743.32

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Solution

The fourth proportional to 362,649.40, 500,527.86 and 231,743.32 is: 319,851.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,649.40 : 500,527.86 = 231,743.32 : x
  2. Step 2: Convert to fraction form
    362,649.40/500,527.86 = 231,743.32/x
  3. Step 3: Cross multiply
    362,649.40x = 500,527.86 × 231,743.32
  4. Step 4: Simplify right side
    362,649.40x = 115,993,988,028.90
  5. Step 5: Solve for x
    x = 115,993,988,028.90/362,649.40
  6. Step 6: Final answer
    x = 319,851.59

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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.