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Finding the Fourth Proportional to 477,831.54, 659,133.26 and 298,672.50

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Solution

The fourth proportional to 477,831.54, 659,133.26 and 298,672.50 is: 411,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,831.54 : 659,133.26 = 298,672.50 : x
  2. Step 2: Convert to fraction form
    477,831.54/659,133.26 = 298,672.50/x
  3. Step 3: Cross multiply
    477,831.54x = 659,133.26 × 298,672.50
  4. Step 4: Simplify right side
    477,831.54x = 196,864,978,597.35
  5. Step 5: Solve for x
    x = 196,864,978,597.35/477,831.54
  6. Step 6: Final answer
    x = 411,996.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.