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Finding the Fourth Proportional to 287,574.80, 431,362.20 and 181,286.60

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Solution

The fourth proportional to 287,574.80, 431,362.20 and 181,286.60 is: 271,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574.80 : 431,362.20 = 181,286.60 : x
  2. Step 2: Convert to fraction form
    287,574.80/431,362.20 = 181,286.60/x
  3. Step 3: Cross multiply
    287,574.80x = 431,362.20 × 181,286.60
  4. Step 4: Simplify right side
    287,574.80x = 78,200,186,606.52
  5. Step 5: Solve for x
    x = 78,200,186,606.52/287,574.80
  6. Step 6: Final answer
    x = 271,929.90

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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.