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Finding the Fourth Proportional to 540,546.80, 809,653.80 and 447,234.80

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Solution

The fourth proportional to 540,546.80, 809,653.80 and 447,234.80 is: 669,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,546.80 : 809,653.80 = 447,234.80 : x
  2. Step 2: Convert to fraction form
    540,546.80/809,653.80 = 447,234.80/x
  3. Step 3: Cross multiply
    540,546.80x = 809,653.80 × 447,234.80
  4. Step 4: Simplify right side
    540,546.80x = 362,105,355,312.24
  5. Step 5: Solve for x
    x = 362,105,355,312.24/540,546.80
  6. Step 6: Final answer
    x = 669,887.15

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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.