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Finding the Fourth Proportional to 407,831.40, 611,747.10 and 323,850.60

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Solution

The fourth proportional to 407,831.40, 611,747.10 and 323,850.60 is: 485,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,831.40 : 611,747.10 = 323,850.60 : x
  2. Step 2: Convert to fraction form
    407,831.40/611,747.10 = 323,850.60/x
  3. Step 3: Cross multiply
    407,831.40x = 611,747.10 × 323,850.60
  4. Step 4: Simplify right side
    407,831.40x = 198,114,665,383.26
  5. Step 5: Solve for x
    x = 198,114,665,383.26/407,831.40
  6. Step 6: Final answer
    x = 485,775.90

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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.