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Finding the Fourth Proportional to 462,022.60, 692,734.20 and 195,710.80

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Solution

The fourth proportional to 462,022.60, 692,734.20 and 195,710.80 is: 293,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,022.60 : 692,734.20 = 195,710.80 : x
  2. Step 2: Convert to fraction form
    462,022.60/692,734.20 = 195,710.80/x
  3. Step 3: Cross multiply
    462,022.60x = 692,734.20 × 195,710.80
  4. Step 4: Simplify right side
    462,022.60x = 135,575,564,469.36
  5. Step 5: Solve for x
    x = 135,575,564,469.36/462,022.60
  6. Step 6: Final answer
    x = 293,439.25

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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.