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Finding the Fourth Proportional to 306,460.80, 459,820.80 and 194,227.20

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Solution

The fourth proportional to 306,460.80, 459,820.80 and 194,227.20 is: 291,422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,460.80 : 459,820.80 = 194,227.20 : x
  2. Step 2: Convert to fraction form
    306,460.80/459,820.80 = 194,227.20/x
  3. Step 3: Cross multiply
    306,460.80x = 459,820.80 × 194,227.20
  4. Step 4: Simplify right side
    306,460.80x = 89,309,706,485.76
  5. Step 5: Solve for x
    x = 89,309,706,485.76/306,460.80
  6. Step 6: Final answer
    x = 291,422.94

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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.