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Finding the Fourth Proportional to 322,675.20, 484,012.80 and 164,851.20

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Solution

The fourth proportional to 322,675.20, 484,012.80 and 164,851.20 is: 247,276.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,675.20 : 484,012.80 = 164,851.20 : x
  2. Step 2: Convert to fraction form
    322,675.20/484,012.80 = 164,851.20/x
  3. Step 3: Cross multiply
    322,675.20x = 484,012.80 × 164,851.20
  4. Step 4: Simplify right side
    322,675.20x = 79,790,090,895.36
  5. Step 5: Solve for x
    x = 79,790,090,895.36/322,675.20
  6. Step 6: Final answer
    x = 247,276.80

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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.