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Finding the Fourth Proportional to 283,624.80, 424,562.40 and 164,943.60

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Solution

The fourth proportional to 283,624.80, 424,562.40 and 164,943.60 is: 246,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,624.80 : 424,562.40 = 164,943.60 : x
  2. Step 2: Convert to fraction form
    283,624.80/424,562.40 = 164,943.60/x
  3. Step 3: Cross multiply
    283,624.80x = 424,562.40 × 164,943.60
  4. Step 4: Simplify right side
    283,624.80x = 70,028,850,680.64
  5. Step 5: Solve for x
    x = 70,028,850,680.64/283,624.80
  6. Step 6: Final answer
    x = 246,906.66

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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.