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Finding the Fourth Proportional to 287,941.80, 431,912.70 and 254,116.20

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Solution

The fourth proportional to 287,941.80, 431,912.70 and 254,116.20 is: 381,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,941.80 : 431,912.70 = 254,116.20 : x
  2. Step 2: Convert to fraction form
    287,941.80/431,912.70 = 254,116.20/x
  3. Step 3: Cross multiply
    287,941.80x = 431,912.70 × 254,116.20
  4. Step 4: Simplify right side
    287,941.80x = 109,756,014,055.74
  5. Step 5: Solve for x
    x = 109,756,014,055.74/287,941.80
  6. Step 6: Final answer
    x = 381,174.30

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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.