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Finding the Fourth Proportional to 465,822.14, 698,880.83 and 166,296.11

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Solution

The fourth proportional to 465,822.14, 698,880.83 and 166,296.11 is: 249,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,822.14 : 698,880.83 = 166,296.11 : x
  2. Step 2: Convert to fraction form
    465,822.14/698,880.83 = 166,296.11/x
  3. Step 3: Cross multiply
    465,822.14x = 698,880.83 × 166,296.11
  4. Step 4: Simplify right side
    465,822.14x = 116,221,159,056.69
  5. Step 5: Solve for x
    x = 116,221,159,056.69/465,822.14
  6. Step 6: Final answer
    x = 249,496.86

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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.