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Finding the Fourth Proportional to 465,977.63, 699,113.15 and 166,451.57

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Solution

The fourth proportional to 465,977.63, 699,113.15 and 166,451.57 is: 249,729.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,977.63 : 699,113.15 = 166,451.57 : x
  2. Step 2: Convert to fraction form
    465,977.63/699,113.15 = 166,451.57/x
  3. Step 3: Cross multiply
    465,977.63x = 699,113.15 × 166,451.57
  4. Step 4: Simplify right side
    465,977.63x = 116,368,477,097.32
  5. Step 5: Solve for x
    x = 116,368,477,097.32/465,977.63
  6. Step 6: Final answer
    x = 249,729.75

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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.