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Finding the Fourth Proportional to 465,998, 698,819.40 and 166,422.64

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Solution

The fourth proportional to 465,998, 698,819.40 and 166,422.64 is: 249,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,998 : 698,819.40 = 166,422.64 : x
  2. Step 2: Convert to fraction form
    465,998/698,819.40 = 166,422.64/x
  3. Step 3: Cross multiply
    465,998x = 698,819.40 × 166,422.64
  4. Step 4: Simplify right side
    465,998x = 116,299,369,431.22
  5. Step 5: Solve for x
    x = 116,299,369,431.22/465,998
  6. Step 6: Final answer
    x = 249,570.53

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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.