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Finding the Fourth Proportional to 465,970.62, 699,102.64 and 166,444.57

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Solution

The fourth proportional to 465,970.62, 699,102.64 and 166,444.57 is: 249,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,970.62 : 699,102.64 = 166,444.57 : x
  2. Step 2: Convert to fraction form
    465,970.62/699,102.64 = 166,444.57/x
  3. Step 3: Cross multiply
    465,970.62x = 699,102.64 × 166,444.57
  4. Step 4: Simplify right side
    465,970.62x = 116,361,834,805.15
  5. Step 5: Solve for x
    x = 116,361,834,805.15/465,970.62
  6. Step 6: Final answer
    x = 249,719.25

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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.