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Finding the Fourth Proportional to 276,334.80, 414,502.20 and 98,847.60

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Solution

The fourth proportional to 276,334.80, 414,502.20 and 98,847.60 is: 148,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,334.80 : 414,502.20 = 98,847.60 : x
  2. Step 2: Convert to fraction form
    276,334.80/414,502.20 = 98,847.60/x
  3. Step 3: Cross multiply
    276,334.80x = 414,502.20 × 98,847.60
  4. Step 4: Simplify right side
    276,334.80x = 40,972,547,664.72
  5. Step 5: Solve for x
    x = 40,972,547,664.72/276,334.80
  6. Step 6: Final answer
    x = 148,271.40

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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.