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Finding the Fourth Proportional to 414,605.66, 621,872.64 and 252,457.83

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Solution

The fourth proportional to 414,605.66, 621,872.64 and 252,457.83 is: 378,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,605.66 : 621,872.64 = 252,457.83 : x
  2. Step 2: Convert to fraction form
    414,605.66/621,872.64 = 252,457.83/x
  3. Step 3: Cross multiply
    414,605.66x = 621,872.64 × 252,457.83
  4. Step 4: Simplify right side
    414,605.66x = 156,996,617,230.77
  5. Step 5: Solve for x
    x = 156,996,617,230.77/414,605.66
  6. Step 6: Final answer
    x = 378,664.92

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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.