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Finding the Fourth Proportional to 577,086.10, 865,629.16 and 311,365.60

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Solution

The fourth proportional to 577,086.10, 865,629.16 and 311,365.60 is: 467,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,086.10 : 865,629.16 = 311,365.60 : x
  2. Step 2: Convert to fraction form
    577,086.10/865,629.16 = 311,365.60/x
  3. Step 3: Cross multiply
    577,086.10x = 865,629.16 × 311,365.60
  4. Step 4: Simplify right side
    577,086.10x = 269,527,142,780.90
  5. Step 5: Solve for x
    x = 269,527,142,780.90/577,086.10
  6. Step 6: Final answer
    x = 467,048.41

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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.