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Finding the Fourth Proportional to 410,932.58, 616,448.07 and 174,244.50

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Solution

The fourth proportional to 410,932.58, 616,448.07 and 174,244.50 is: 261,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,932.58 : 616,448.07 = 174,244.50 : x
  2. Step 2: Convert to fraction form
    410,932.58/616,448.07 = 174,244.50/x
  3. Step 3: Cross multiply
    410,932.58x = 616,448.07 × 174,244.50
  4. Step 4: Simplify right side
    410,932.58x = 107,412,685,733.12
  5. Step 5: Solve for x
    x = 107,412,685,733.12/410,932.58
  6. Step 6: Final answer
    x = 261,387.62

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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.