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Finding the Fourth Proportional to 465,980.26, 698,854.74 and 199,710.58

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Solution

The fourth proportional to 465,980.26, 698,854.74 and 199,710.58 is: 299,516.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,980.26 : 698,854.74 = 199,710.58 : x
  2. Step 2: Convert to fraction form
    465,980.26/698,854.74 = 199,710.58/x
  3. Step 3: Cross multiply
    465,980.26x = 698,854.74 × 199,710.58
  4. Step 4: Simplify right side
    465,980.26x = 139,568,685,461.15
  5. Step 5: Solve for x
    x = 139,568,685,461.15/465,980.26
  6. Step 6: Final answer
    x = 299,516.30

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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.