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Finding the Fourth Proportional to 484,846.10, 727,009.95 and 204,046.10

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Solution

The fourth proportional to 484,846.10, 727,009.95 and 204,046.10 is: 305,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,846.10 : 727,009.95 = 204,046.10 : x
  2. Step 2: Convert to fraction form
    484,846.10/727,009.95 = 204,046.10/x
  3. Step 3: Cross multiply
    484,846.10x = 727,009.95 × 204,046.10
  4. Step 4: Simplify right side
    484,846.10x = 148,343,544,958.70
  5. Step 5: Solve for x
    x = 148,343,544,958.70/484,846.10
  6. Step 6: Final answer
    x = 305,960.07

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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.