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Finding the Fourth Proportional to 344,019.75, 474,817.10 and 198,831.70

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Solution

The fourth proportional to 344,019.75, 474,817.10 and 198,831.70 is: 274,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,019.75 : 474,817.10 = 198,831.70 : x
  2. Step 2: Convert to fraction form
    344,019.75/474,817.10 = 198,831.70/x
  3. Step 3: Cross multiply
    344,019.75x = 474,817.10 × 198,831.70
  4. Step 4: Simplify right side
    344,019.75x = 94,408,691,182.07
  5. Step 5: Solve for x
    x = 94,408,691,182.07/344,019.75
  6. Step 6: Final answer
    x = 274,428.11

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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.