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Finding the Fourth Proportional to 431,951.13, 596,199.29 and 262,327.41

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Solution

The fourth proportional to 431,951.13, 596,199.29 and 262,327.41 is: 362,076.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,951.13 : 596,199.29 = 262,327.41 : x
  2. Step 2: Convert to fraction form
    431,951.13/596,199.29 = 262,327.41/x
  3. Step 3: Cross multiply
    431,951.13x = 596,199.29 × 262,327.41
  4. Step 4: Simplify right side
    431,951.13x = 156,399,414,277.90
  5. Step 5: Solve for x
    x = 156,399,414,277.90/431,951.13
  6. Step 6: Final answer
    x = 362,076.64

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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.