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Finding the Fourth Proportional to 287,999.80, 431,999.70 and 213,350.20

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Solution

The fourth proportional to 287,999.80, 431,999.70 and 213,350.20 is: 320,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,999.80 : 431,999.70 = 213,350.20 : x
  2. Step 2: Convert to fraction form
    287,999.80/431,999.70 = 213,350.20/x
  3. Step 3: Cross multiply
    287,999.80x = 431,999.70 × 213,350.20
  4. Step 4: Simplify right side
    287,999.80x = 92,167,222,394.94
  5. Step 5: Solve for x
    x = 92,167,222,394.94/287,999.80
  6. Step 6: Final answer
    x = 320,025.30

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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.