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Finding the Fourth Proportional to 462,017.60, 693,285.60 and 195,732.80

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Solution

The fourth proportional to 462,017.60, 693,285.60 and 195,732.80 is: 293,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,017.60 : 693,285.60 = 195,732.80 : x
  2. Step 2: Convert to fraction form
    462,017.60/693,285.60 = 195,732.80/x
  3. Step 3: Cross multiply
    462,017.60x = 693,285.60 × 195,732.80
  4. Step 4: Simplify right side
    462,017.60x = 135,698,731,687.68
  5. Step 5: Solve for x
    x = 135,698,731,687.68/462,017.60
  6. Step 6: Final answer
    x = 293,709.01

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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.