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Finding the Fourth Proportional to 311,677.04, 467,807.16 and 171,242.48

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Solution

The fourth proportional to 311,677.04, 467,807.16 and 171,242.48 is: 257,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,677.04 : 467,807.16 = 171,242.48 : x
  2. Step 2: Convert to fraction form
    311,677.04/467,807.16 = 171,242.48/x
  3. Step 3: Cross multiply
    311,677.04x = 467,807.16 × 171,242.48
  4. Step 4: Simplify right side
    311,677.04x = 80,108,458,240.16
  5. Step 5: Solve for x
    x = 80,108,458,240.16/311,677.04
  6. Step 6: Final answer
    x = 257,023.93

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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.