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Finding the Fourth Proportional to 484,973.20, 727,459.80 and 442,982.80

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Solution

The fourth proportional to 484,973.20, 727,459.80 and 442,982.80 is: 664,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,973.20 : 727,459.80 = 442,982.80 : x
  2. Step 2: Convert to fraction form
    484,973.20/727,459.80 = 442,982.80/x
  3. Step 3: Cross multiply
    484,973.20x = 727,459.80 × 442,982.80
  4. Step 4: Simplify right side
    484,973.20x = 322,252,179,091.44
  5. Step 5: Solve for x
    x = 322,252,179,091.44/484,973.20
  6. Step 6: Final answer
    x = 664,474.20

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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.