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Finding the Fourth Proportional to 299,324.82, 446,340.84 and 296,656.68

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Solution

The fourth proportional to 299,324.82, 446,340.84 and 296,656.68 is: 442,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,324.82 : 446,340.84 = 296,656.68 : x
  2. Step 2: Convert to fraction form
    299,324.82/446,340.84 = 296,656.68/x
  3. Step 3: Cross multiply
    299,324.82x = 446,340.84 × 296,656.68
  4. Step 4: Simplify right side
    299,324.82x = 132,409,991,742.81
  5. Step 5: Solve for x
    x = 132,409,991,742.81/299,324.82
  6. Step 6: Final answer
    x = 442,362.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.