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Finding the Fourth Proportional to 329,181.40, 493,772.10 and 310,810.60

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Solution

The fourth proportional to 329,181.40, 493,772.10 and 310,810.60 is: 466,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,181.40 : 493,772.10 = 310,810.60 : x
  2. Step 2: Convert to fraction form
    329,181.40/493,772.10 = 310,810.60/x
  3. Step 3: Cross multiply
    329,181.40x = 493,772.10 × 310,810.60
  4. Step 4: Simplify right side
    329,181.40x = 153,469,602,664.26
  5. Step 5: Solve for x
    x = 153,469,602,664.26/329,181.40
  6. Step 6: Final answer
    x = 466,215.90

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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.