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Finding the Fourth Proportional to 560,851.76, 839,936.48 and 323,474.78

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Solution

The fourth proportional to 560,851.76, 839,936.48 and 323,474.78 is: 484,438.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,851.76 : 839,936.48 = 323,474.78 : x
  2. Step 2: Convert to fraction form
    560,851.76/839,936.48 = 323,474.78/x
  3. Step 3: Cross multiply
    560,851.76x = 839,936.48 × 323,474.78
  4. Step 4: Simplify right side
    560,851.76x = 271,698,268,081.97
  5. Step 5: Solve for x
    x = 271,698,268,081.97/560,851.76
  6. Step 6: Final answer
    x = 484,438.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.