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Finding the Fourth Proportional to 465,475.39, 698,267.75 and 165,998.54

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Solution

The fourth proportional to 465,475.39, 698,267.75 and 165,998.54 is: 249,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,475.39 : 698,267.75 = 165,998.54 : x
  2. Step 2: Convert to fraction form
    465,475.39/698,267.75 = 165,998.54/x
  3. Step 3: Cross multiply
    465,475.39x = 698,267.75 × 165,998.54
  4. Step 4: Simplify right side
    465,475.39x = 115,911,427,029.09
  5. Step 5: Solve for x
    x = 115,911,427,029.09/465,475.39
  6. Step 6: Final answer
    x = 249,017.30

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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.