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Finding the Fourth Proportional to 398,999.80, 598,499.70 and 309,770.20

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Solution

The fourth proportional to 398,999.80, 598,499.70 and 309,770.20 is: 464,655.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,999.80 : 598,499.70 = 309,770.20 : x
  2. Step 2: Convert to fraction form
    398,999.80/598,499.70 = 309,770.20/x
  3. Step 3: Cross multiply
    398,999.80x = 598,499.70 × 309,770.20
  4. Step 4: Simplify right side
    398,999.80x = 185,397,371,768.94
  5. Step 5: Solve for x
    x = 185,397,371,768.94/398,999.80
  6. Step 6: Final answer
    x = 464,655.30

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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.