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Finding the Fourth Proportional to 362,282.70, 542,986.65 and 184,698.30

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Solution

The fourth proportional to 362,282.70, 542,986.65 and 184,698.30 is: 276,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,282.70 : 542,986.65 = 184,698.30 : x
  2. Step 2: Convert to fraction form
    362,282.70/542,986.65 = 184,698.30/x
  3. Step 3: Cross multiply
    362,282.70x = 542,986.65 × 184,698.30
  4. Step 4: Simplify right side
    362,282.70x = 100,288,711,177.70
  5. Step 5: Solve for x
    x = 100,288,711,177.70/362,282.70
  6. Step 6: Final answer
    x = 276,824.46

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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.