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Finding the Fourth Proportional to 484,729.32, 726,765.93 and 169,014

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Solution

The fourth proportional to 484,729.32, 726,765.93 and 169,014 is: 253,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,729.32 : 726,765.93 = 169,014 : x
  2. Step 2: Convert to fraction form
    484,729.32/726,765.93 = 169,014/x
  3. Step 3: Cross multiply
    484,729.32x = 726,765.93 × 169,014
  4. Step 4: Simplify right side
    484,729.32x = 122,833,616,893.02
  5. Step 5: Solve for x
    x = 122,833,616,893.02/484,729.32
  6. Step 6: Final answer
    x = 253,406.62

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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.