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Finding the Fourth Proportional to 465,822.77, 698,881.73 and 166,296.69

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Solution

The fourth proportional to 465,822.77, 698,881.73 and 166,296.69 is: 249,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,822.77 : 698,881.73 = 166,296.69 : x
  2. Step 2: Convert to fraction form
    465,822.77/698,881.73 = 166,296.69/x
  3. Step 3: Cross multiply
    465,822.77x = 698,881.73 × 166,296.69
  4. Step 4: Simplify right side
    465,822.77x = 116,221,717,568.99
  5. Step 5: Solve for x
    x = 116,221,717,568.99/465,822.77
  6. Step 6: Final answer
    x = 249,497.72

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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.