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Finding the Fourth Proportional to 414,554.05, 621,835.18 and 174,708.50

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Solution

The fourth proportional to 414,554.05, 621,835.18 and 174,708.50 is: 262,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,554.05 : 621,835.18 = 174,708.50 : x
  2. Step 2: Convert to fraction form
    414,554.05/621,835.18 = 174,708.50/x
  3. Step 3: Cross multiply
    414,554.05x = 621,835.18 × 174,708.50
  4. Step 4: Simplify right side
    414,554.05x = 108,639,887,999.08
  5. Step 5: Solve for x
    x = 108,639,887,999.08/414,554.05
  6. Step 6: Final answer
    x = 262,064.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.