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Finding the Fourth Proportional to 465,980.64, 699,117.66 and 166,454.58

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Solution

The fourth proportional to 465,980.64, 699,117.66 and 166,454.58 is: 249,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,980.64 : 699,117.66 = 166,454.58 : x
  2. Step 2: Convert to fraction form
    465,980.64/699,117.66 = 166,454.58/x
  3. Step 3: Cross multiply
    465,980.64x = 699,117.66 × 166,454.58
  4. Step 4: Simplify right side
    465,980.64x = 116,371,336,465.88
  5. Step 5: Solve for x
    x = 116,371,336,465.88/465,980.64
  6. Step 6: Final answer
    x = 249,734.27

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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.