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Finding the Fourth Proportional to 484,847.10, 727,011.45 and 204,047.10

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Solution

The fourth proportional to 484,847.10, 727,011.45 and 204,047.10 is: 305,961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,847.10 : 727,011.45 = 204,047.10 : x
  2. Step 2: Convert to fraction form
    484,847.10/727,011.45 = 204,047.10/x
  3. Step 3: Cross multiply
    484,847.10x = 727,011.45 × 204,047.10
  4. Step 4: Simplify right side
    484,847.10x = 148,344,578,039.30
  5. Step 5: Solve for x
    x = 148,344,578,039.30/484,847.10
  6. Step 6: Final answer
    x = 305,961.57

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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.