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Finding the Fourth Proportional to 465,983.64, 699,122.16 and 166,457.57

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Solution

The fourth proportional to 465,983.64, 699,122.16 and 166,457.57 is: 249,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,983.64 : 699,122.16 = 166,457.57 : x
  2. Step 2: Convert to fraction form
    465,983.64/699,122.16 = 166,457.57/x
  3. Step 3: Cross multiply
    465,983.64x = 699,122.16 × 166,457.57
  4. Step 4: Simplify right side
    465,983.64x = 116,374,172,391.14
  5. Step 5: Solve for x
    x = 116,374,172,391.14/465,983.64
  6. Step 6: Final answer
    x = 249,738.75

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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.