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Finding the Fourth Proportional to 354,861.60, 532,443.60 and 186,511.20

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Solution

The fourth proportional to 354,861.60, 532,443.60 and 186,511.20 is: 279,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,861.60 : 532,443.60 = 186,511.20 : x
  2. Step 2: Convert to fraction form
    354,861.60/532,443.60 = 186,511.20/x
  3. Step 3: Cross multiply
    354,861.60x = 532,443.60 × 186,511.20
  4. Step 4: Simplify right side
    354,861.60x = 99,306,694,768.32
  5. Step 5: Solve for x
    x = 99,306,694,768.32/354,861.60
  6. Step 6: Final answer
    x = 279,846.27

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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.