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Finding the Fourth Proportional to 305,796.44, 422,061.18 and 176,740.40

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Solution

The fourth proportional to 305,796.44, 422,061.18 and 176,740.40 is: 243,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,796.44 : 422,061.18 = 176,740.40 : x
  2. Step 2: Convert to fraction form
    305,796.44/422,061.18 = 176,740.40/x
  3. Step 3: Cross multiply
    305,796.44x = 422,061.18 × 176,740.40
  4. Step 4: Simplify right side
    305,796.44x = 74,595,261,777.67
  5. Step 5: Solve for x
    x = 74,595,261,777.67/305,796.44
  6. Step 6: Final answer
    x = 243,937.64

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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.