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Finding the Fourth Proportional to 486,465.66, 729,202.41 and 275,658.30

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Solution

The fourth proportional to 486,465.66, 729,202.41 and 275,658.30 is: 413,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,465.66 : 729,202.41 = 275,658.30 : x
  2. Step 2: Convert to fraction form
    486,465.66/729,202.41 = 275,658.30/x
  3. Step 3: Cross multiply
    486,465.66x = 729,202.41 × 275,658.30
  4. Step 4: Simplify right side
    486,465.66x = 201,010,696,696.50
  5. Step 5: Solve for x
    x = 201,010,696,696.50/486,465.66
  6. Step 6: Final answer
    x = 413,206.34

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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.