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Finding the Fourth Proportional to 414,420.94, 621,631.44 and 114,901.53

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Solution

The fourth proportional to 414,420.94, 621,631.44 and 114,901.53 is: 172,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,420.94 : 621,631.44 = 114,901.53 : x
  2. Step 2: Convert to fraction form
    414,420.94/621,631.44 = 114,901.53/x
  3. Step 3: Cross multiply
    414,420.94x = 621,631.44 × 114,901.53
  4. Step 4: Simplify right side
    414,420.94x = 71,426,401,005.54
  5. Step 5: Solve for x
    x = 71,426,401,005.54/414,420.94
  6. Step 6: Final answer
    x = 172,352.30

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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.