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Finding the Fourth Proportional to 437,509.86, 656,278.92 and 137,993.28

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Solution

The fourth proportional to 437,509.86, 656,278.92 and 137,993.28 is: 206,994.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,509.86 : 656,278.92 = 137,993.28 : x
  2. Step 2: Convert to fraction form
    437,509.86/656,278.92 = 137,993.28/x
  3. Step 3: Cross multiply
    437,509.86x = 656,278.92 × 137,993.28
  4. Step 4: Simplify right side
    437,509.86x = 90,562,080,765.66
  5. Step 5: Solve for x
    x = 90,562,080,765.66/437,509.86
  6. Step 6: Final answer
    x = 206,994.38

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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.