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Finding the Fourth Proportional to 310,858.56, 466,754.40 and 177,888.96

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Solution

The fourth proportional to 310,858.56, 466,754.40 and 177,888.96 is: 267,100.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,858.56 : 466,754.40 = 177,888.96 : x
  2. Step 2: Convert to fraction form
    310,858.56/466,754.40 = 177,888.96/x
  3. Step 3: Cross multiply
    310,858.56x = 466,754.40 × 177,888.96
  4. Step 4: Simplify right side
    310,858.56x = 83,030,454,791.42
  5. Step 5: Solve for x
    x = 83,030,454,791.42/310,858.56
  6. Step 6: Final answer
    x = 267,100.43

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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.