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Finding the Fourth Proportional to 298,471.30, 448,052.55 and 180,276.10

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Solution

The fourth proportional to 298,471.30, 448,052.55 and 180,276.10 is: 270,622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,471.30 : 448,052.55 = 180,276.10 : x
  2. Step 2: Convert to fraction form
    298,471.30/448,052.55 = 180,276.10/x
  3. Step 3: Cross multiply
    298,471.30x = 448,052.55 × 180,276.10
  4. Step 4: Simplify right side
    298,471.30x = 80,773,166,309.06
  5. Step 5: Solve for x
    x = 80,773,166,309.06/298,471.30
  6. Step 6: Final answer
    x = 270,622.89

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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.