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Finding the Fourth Proportional to 310,872.92, 466,505.60 and 178,012.67

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Solution

The fourth proportional to 310,872.92, 466,505.60 and 178,012.67 is: 267,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,872.92 : 466,505.60 = 178,012.67 : x
  2. Step 2: Convert to fraction form
    310,872.92/466,505.60 = 178,012.67/x
  3. Step 3: Cross multiply
    310,872.92x = 466,505.60 × 178,012.67
  4. Step 4: Simplify right side
    310,872.92x = 83,043,904,203.36
  5. Step 5: Solve for x
    x = 83,043,904,203.36/310,872.92
  6. Step 6: Final answer
    x = 267,131.36

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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.