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Finding the Fourth Proportional to 287,583.20, 431,461.20 and 204,639.20

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Solution

The fourth proportional to 287,583.20, 431,461.20 and 204,639.20 is: 307,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,583.20 : 431,461.20 = 204,639.20 : x
  2. Step 2: Convert to fraction form
    287,583.20/431,461.20 = 204,639.20/x
  3. Step 3: Cross multiply
    287,583.20x = 431,461.20 × 204,639.20
  4. Step 4: Simplify right side
    287,583.20x = 88,293,874,799.04
  5. Step 5: Solve for x
    x = 88,293,874,799.04/287,583.20
  6. Step 6: Final answer
    x = 307,020.28

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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.