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Finding the Fourth Proportional to 460,991.82, 691,462.83 and 176,818.50

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Solution

The fourth proportional to 460,991.82, 691,462.83 and 176,818.50 is: 265,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,991.82 : 691,462.83 = 176,818.50 : x
  2. Step 2: Convert to fraction form
    460,991.82/691,462.83 = 176,818.50/x
  3. Step 3: Cross multiply
    460,991.82x = 691,462.83 × 176,818.50
  4. Step 4: Simplify right side
    460,991.82x = 122,263,420,406.36
  5. Step 5: Solve for x
    x = 122,263,420,406.36/460,991.82
  6. Step 6: Final answer
    x = 265,218.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.