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Finding the Fourth Proportional to 304,847.80, 457,271.70 and 186,652.60

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Solution

The fourth proportional to 304,847.80, 457,271.70 and 186,652.60 is: 279,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,847.80 : 457,271.70 = 186,652.60 : x
  2. Step 2: Convert to fraction form
    304,847.80/457,271.70 = 186,652.60/x
  3. Step 3: Cross multiply
    304,847.80x = 457,271.70 × 186,652.60
  4. Step 4: Simplify right side
    304,847.80x = 85,350,951,711.42
  5. Step 5: Solve for x
    x = 85,350,951,711.42/304,847.80
  6. Step 6: Final answer
    x = 279,978.90

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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.