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Finding the Fourth Proportional to 465,897.55, 642,930.14 and 259,164.92

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Solution

The fourth proportional to 465,897.55, 642,930.14 and 259,164.92 is: 357,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,897.55 : 642,930.14 = 259,164.92 : x
  2. Step 2: Convert to fraction form
    465,897.55/642,930.14 = 259,164.92/x
  3. Step 3: Cross multiply
    465,897.55x = 642,930.14 × 259,164.92
  4. Step 4: Simplify right side
    465,897.55x = 166,624,940,861.44
  5. Step 5: Solve for x
    x = 166,624,940,861.44/465,897.55
  6. Step 6: Final answer
    x = 357,642.88

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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.