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Finding the Fourth Proportional to 276,007.40, 414,011.10 and 169,719.20

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Solution

The fourth proportional to 276,007.40, 414,011.10 and 169,719.20 is: 254,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,007.40 : 414,011.10 = 169,719.20 : x
  2. Step 2: Convert to fraction form
    276,007.40/414,011.10 = 169,719.20/x
  3. Step 3: Cross multiply
    276,007.40x = 414,011.10 × 169,719.20
  4. Step 4: Simplify right side
    276,007.40x = 70,265,632,683.12
  5. Step 5: Solve for x
    x = 70,265,632,683.12/276,007.40
  6. Step 6: Final answer
    x = 254,578.80

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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.