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Finding the Fourth Proportional to 465,854.40, 698,846.40 and 199,612.80

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Solution

The fourth proportional to 465,854.40, 698,846.40 and 199,612.80 is: 299,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,854.40 : 698,846.40 = 199,612.80 : x
  2. Step 2: Convert to fraction form
    465,854.40/698,846.40 = 199,612.80/x
  3. Step 3: Cross multiply
    465,854.40x = 698,846.40 × 199,612.80
  4. Step 4: Simplify right side
    465,854.40x = 139,498,686,673.92
  5. Step 5: Solve for x
    x = 139,498,686,673.92/465,854.40
  6. Step 6: Final answer
    x = 299,446.97

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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.