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Finding the Fourth Proportional to 414,391.60, 621,525.81 and 114,840.95

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Solution

The fourth proportional to 414,391.60, 621,525.81 and 114,840.95 is: 172,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,391.60 : 621,525.81 = 114,840.95 : x
  2. Step 2: Convert to fraction form
    414,391.60/621,525.81 = 114,840.95/x
  3. Step 3: Cross multiply
    414,391.60x = 621,525.81 × 114,840.95
  4. Step 4: Simplify right side
    414,391.60x = 71,376,611,362.29
  5. Step 5: Solve for x
    x = 71,376,611,362.29/414,391.60
  6. Step 6: Final answer
    x = 172,244.35

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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.