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Finding the Fourth Proportional to 276,004.60, 414,006.90 and 181,526.20

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Solution

The fourth proportional to 276,004.60, 414,006.90 and 181,526.20 is: 272,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,004.60 : 414,006.90 = 181,526.20 : x
  2. Step 2: Convert to fraction form
    276,004.60/414,006.90 = 181,526.20/x
  3. Step 3: Cross multiply
    276,004.60x = 414,006.90 × 181,526.20
  4. Step 4: Simplify right side
    276,004.60x = 75,153,099,330.78
  5. Step 5: Solve for x
    x = 75,153,099,330.78/276,004.60
  6. Step 6: Final answer
    x = 272,289.30

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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.