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Finding the Fourth Proportional to 698,871.44, 962,062.52 and 517,241.09

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Solution

The fourth proportional to 698,871.44, 962,062.52 and 517,241.09 is: 712,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,871.44 : 962,062.52 = 517,241.09 : x
  2. Step 2: Convert to fraction form
    698,871.44/962,062.52 = 517,241.09/x
  3. Step 3: Cross multiply
    698,871.44x = 962,062.52 × 517,241.09
  4. Step 4: Simplify right side
    698,871.44x = 497,618,266,311.90
  5. Step 5: Solve for x
    x = 497,618,266,311.90/698,871.44
  6. Step 6: Final answer
    x = 712,031.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.