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Finding the Fourth Proportional to 484,082.92, 726,028.44 and 460,078.66

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Solution

The fourth proportional to 484,082.92, 726,028.44 and 460,078.66 is: 690,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,082.92 : 726,028.44 = 460,078.66 : x
  2. Step 2: Convert to fraction form
    484,082.92/726,028.44 = 460,078.66/x
  3. Step 3: Cross multiply
    484,082.92x = 726,028.44 × 460,078.66
  4. Step 4: Simplify right side
    484,082.92x = 334,030,191,797.09
  5. Step 5: Solve for x
    x = 334,030,191,797.09/484,082.92
  6. Step 6: Final answer
    x = 690,026.81

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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.