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Finding the Fourth Proportional to 462,098.80, 693,245.40 and 195,722.20

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Solution

The fourth proportional to 462,098.80, 693,245.40 and 195,722.20 is: 293,624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,098.80 : 693,245.40 = 195,722.20 : x
  2. Step 2: Convert to fraction form
    462,098.80/693,245.40 = 195,722.20/x
  3. Step 3: Cross multiply
    462,098.80x = 693,245.40 × 195,722.20
  4. Step 4: Simplify right side
    462,098.80x = 135,683,514,827.88
  5. Step 5: Solve for x
    x = 135,683,514,827.88/462,098.80
  6. Step 6: Final answer
    x = 293,624.47

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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.