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Finding the Fourth Proportional to 276,005.40, 414,008.10 and 98,518.20

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Solution

The fourth proportional to 276,005.40, 414,008.10 and 98,518.20 is: 147,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,005.40 : 414,008.10 = 98,518.20 : x
  2. Step 2: Convert to fraction form
    276,005.40/414,008.10 = 98,518.20/x
  3. Step 3: Cross multiply
    276,005.40x = 414,008.10 × 98,518.20
  4. Step 4: Simplify right side
    276,005.40x = 40,787,332,797.42
  5. Step 5: Solve for x
    x = 40,787,332,797.42/276,005.40
  6. Step 6: Final answer
    x = 147,777.30

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1.5x scale

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.