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Finding the Fourth Proportional to 484,665.10, 727,112.85 and 204,037.90

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Solution

The fourth proportional to 484,665.10, 727,112.85 and 204,037.90 is: 306,105.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,665.10 : 727,112.85 = 204,037.90 : x
  2. Step 2: Convert to fraction form
    484,665.10/727,112.85 = 204,037.90/x
  3. Step 3: Cross multiply
    484,665.10x = 727,112.85 × 204,037.90
  4. Step 4: Simplify right side
    484,665.10x = 148,358,578,977.02
  5. Step 5: Solve for x
    x = 148,358,578,977.02/484,665.10
  6. Step 6: Final answer
    x = 306,105.35

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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.