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Finding the Fourth Proportional to 329,201.80, 493,802.70 and 325,702.60

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Solution

The fourth proportional to 329,201.80, 493,802.70 and 325,702.60 is: 488,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,201.80 : 493,802.70 = 325,702.60 : x
  2. Step 2: Convert to fraction form
    329,201.80/493,802.70 = 325,702.60/x
  3. Step 3: Cross multiply
    329,201.80x = 493,802.70 × 325,702.60
  4. Step 4: Simplify right side
    329,201.80x = 160,832,823,277.02
  5. Step 5: Solve for x
    x = 160,832,823,277.02/329,201.80
  6. Step 6: Final answer
    x = 488,553.90

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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.