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Finding the Fourth Proportional to 354,846.80, 532,270.20 and 214,878.80

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Solution

The fourth proportional to 354,846.80, 532,270.20 and 214,878.80 is: 322,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,846.80 : 532,270.20 = 214,878.80 : x
  2. Step 2: Convert to fraction form
    354,846.80/532,270.20 = 214,878.80/x
  3. Step 3: Cross multiply
    354,846.80x = 532,270.20 × 214,878.80
  4. Step 4: Simplify right side
    354,846.80x = 114,373,581,851.76
  5. Step 5: Solve for x
    x = 114,373,581,851.76/354,846.80
  6. Step 6: Final answer
    x = 322,318.20

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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.