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Finding the Fourth Proportional to 310,890.80, 466,336.20 and 287,271.20

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Solution

The fourth proportional to 310,890.80, 466,336.20 and 287,271.20 is: 430,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,890.80 : 466,336.20 = 287,271.20 : x
  2. Step 2: Convert to fraction form
    310,890.80/466,336.20 = 287,271.20/x
  3. Step 3: Cross multiply
    310,890.80x = 466,336.20 × 287,271.20
  4. Step 4: Simplify right side
    310,890.80x = 133,964,959,777.44
  5. Step 5: Solve for x
    x = 133,964,959,777.44/310,890.80
  6. Step 6: Final answer
    x = 430,906.80

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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.