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Finding the Fourth Proportional to 469,135.68, 647,400.20 and 265,179.42

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Solution

The fourth proportional to 469,135.68, 647,400.20 and 265,179.42 is: 365,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,135.68 : 647,400.20 = 265,179.42 : x
  2. Step 2: Convert to fraction form
    469,135.68/647,400.20 = 265,179.42/x
  3. Step 3: Cross multiply
    469,135.68x = 647,400.20 × 265,179.42
  4. Step 4: Simplify right side
    469,135.68x = 171,677,209,543.88
  5. Step 5: Solve for x
    x = 171,677,209,543.88/469,135.68
  6. Step 6: Final answer
    x = 365,943.62

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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.