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Finding the Fourth Proportional to 548,214.40, 821,803.20 and 323,747.20

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Solution

The fourth proportional to 548,214.40, 821,803.20 and 323,747.20 is: 485,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,214.40 : 821,803.20 = 323,747.20 : x
  2. Step 2: Convert to fraction form
    548,214.40/821,803.20 = 323,747.20/x
  3. Step 3: Cross multiply
    548,214.40x = 821,803.20 × 323,747.20
  4. Step 4: Simplify right side
    548,214.40x = 266,056,484,951.04
  5. Step 5: Solve for x
    x = 266,056,484,951.04/548,214.40
  6. Step 6: Final answer
    x = 485,314.66

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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.