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Finding the Fourth Proportional to 485,201.60, 727,802.40 and 271,750.40

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Solution

The fourth proportional to 485,201.60, 727,802.40 and 271,750.40 is: 407,625.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,201.60 : 727,802.40 = 271,750.40 : x
  2. Step 2: Convert to fraction form
    485,201.60/727,802.40 = 271,750.40/x
  3. Step 3: Cross multiply
    485,201.60x = 727,802.40 × 271,750.40
  4. Step 4: Simplify right side
    485,201.60x = 197,780,593,320.96
  5. Step 5: Solve for x
    x = 197,780,593,320.96/485,201.60
  6. Step 6: Final answer
    x = 407,625.60

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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.