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Finding the Fourth Proportional to 465,992, 698,810.40 and 166,416.64

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Solution

The fourth proportional to 465,992, 698,810.40 and 166,416.64 is: 249,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,992 : 698,810.40 = 166,416.64 : x
  2. Step 2: Convert to fraction form
    465,992/698,810.40 = 166,416.64/x
  3. Step 3: Cross multiply
    465,992x = 698,810.40 × 166,416.64
  4. Step 4: Simplify right side
    465,992x = 116,293,678,765.06
  5. Step 5: Solve for x
    x = 116,293,678,765.06/465,992
  6. Step 6: Final answer
    x = 249,561.53

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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.