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Finding the Fourth Proportional to 310,940.30, 466,410.45 and 171,584.66

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Solution

The fourth proportional to 310,940.30, 466,410.45 and 171,584.66 is: 257,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,940.30 : 466,410.45 = 171,584.66 : x
  2. Step 2: Convert to fraction form
    310,940.30/466,410.45 = 171,584.66/x
  3. Step 3: Cross multiply
    310,940.30x = 466,410.45 × 171,584.66
  4. Step 4: Simplify right side
    310,940.30x = 80,028,878,483.70
  5. Step 5: Solve for x
    x = 80,028,878,483.70/310,940.30
  6. Step 6: Final answer
    x = 257,376.99

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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.