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Finding the Fourth Proportional to 414,468.81, 621,703.17 and 114,949.38

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Solution

The fourth proportional to 414,468.81, 621,703.17 and 114,949.38 is: 172,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.81 : 621,703.17 = 114,949.38 : x
  2. Step 2: Convert to fraction form
    414,468.81/621,703.17 = 114,949.38/x
  3. Step 3: Cross multiply
    414,468.81x = 621,703.17 × 114,949.38
  4. Step 4: Simplify right side
    414,468.81x = 71,464,393,935.53
  5. Step 5: Solve for x
    x = 71,464,393,935.53/414,468.81
  6. Step 6: Final answer
    x = 172,424.06

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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.