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Finding the Fourth Proportional to 465,679.79, 697,935.34 and 199,126.86

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Solution

The fourth proportional to 465,679.79, 697,935.34 and 199,126.86 is: 298,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,679.79 : 697,935.34 = 199,126.86 : x
  2. Step 2: Convert to fraction form
    465,679.79/697,935.34 = 199,126.86/x
  3. Step 3: Cross multiply
    465,679.79x = 697,935.34 × 199,126.86
  4. Step 4: Simplify right side
    465,679.79x = 138,977,670,368.88
  5. Step 5: Solve for x
    x = 138,977,670,368.88/465,679.79
  6. Step 6: Final answer
    x = 298,440.42

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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.