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Finding the Fourth Proportional to 466,570.64, 699,683.88 and 166,970

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Solution

The fourth proportional to 466,570.64, 699,683.88 and 166,970 is: 250,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,570.64 : 699,683.88 = 166,970 : x
  2. Step 2: Convert to fraction form
    466,570.64/699,683.88 = 166,970/x
  3. Step 3: Cross multiply
    466,570.64x = 699,683.88 × 166,970
  4. Step 4: Simplify right side
    466,570.64x = 116,826,217,443.60
  5. Step 5: Solve for x
    x = 116,826,217,443.60/466,570.64
  6. Step 6: Final answer
    x = 250,393.42

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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.