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Finding the Fourth Proportional to 273,127.40, 409,691.10 and 217,831.40

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Solution

The fourth proportional to 273,127.40, 409,691.10 and 217,831.40 is: 326,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,127.40 : 409,691.10 = 217,831.40 : x
  2. Step 2: Convert to fraction form
    273,127.40/409,691.10 = 217,831.40/x
  3. Step 3: Cross multiply
    273,127.40x = 409,691.10 × 217,831.40
  4. Step 4: Simplify right side
    273,127.40x = 89,243,585,880.54
  5. Step 5: Solve for x
    x = 89,243,585,880.54/273,127.40
  6. Step 6: Final answer
    x = 326,747.10

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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.