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Finding the Fourth Proportional to 311,830.41, 430,327.01 and 168,591.47

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Solution

The fourth proportional to 311,830.41, 430,327.01 and 168,591.47 is: 232,656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,830.41 : 430,327.01 = 168,591.47 : x
  2. Step 2: Convert to fraction form
    311,830.41/430,327.01 = 168,591.47/x
  3. Step 3: Cross multiply
    311,830.41x = 430,327.01 × 168,591.47
  4. Step 4: Simplify right side
    311,830.41x = 72,549,460,202.01
  5. Step 5: Solve for x
    x = 72,549,460,202.01/311,830.41
  6. Step 6: Final answer
    x = 232,656.78

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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.