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Finding the Fourth Proportional to 484,662.60, 727,109.10 and 204,035.40

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Solution

The fourth proportional to 484,662.60, 727,109.10 and 204,035.40 is: 306,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,662.60 : 727,109.10 = 204,035.40 : x
  2. Step 2: Convert to fraction form
    484,662.60/727,109.10 = 204,035.40/x
  3. Step 3: Cross multiply
    484,662.60x = 727,109.10 × 204,035.40
  4. Step 4: Simplify right side
    484,662.60x = 148,355,996,062.14
  5. Step 5: Solve for x
    x = 148,355,996,062.14/484,662.60
  6. Step 6: Final answer
    x = 306,101.60

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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.