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Finding the Fourth Proportional to 287,573.20, 431,446.20 and 204,629.20

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Solution

The fourth proportional to 287,573.20, 431,446.20 and 204,629.20 is: 307,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,573.20 : 431,446.20 = 204,629.20 : x
  2. Step 2: Convert to fraction form
    287,573.20/431,446.20 = 204,629.20/x
  3. Step 3: Cross multiply
    287,573.20x = 431,446.20 × 204,629.20
  4. Step 4: Simplify right side
    287,573.20x = 88,286,490,749.04
  5. Step 5: Solve for x
    x = 88,286,490,749.04/287,573.20
  6. Step 6: Final answer
    x = 307,005.28

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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.