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Finding the Fourth Proportional to 329,702.40, 494,553.60 and 229,975.20

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Solution

The fourth proportional to 329,702.40, 494,553.60 and 229,975.20 is: 344,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,702.40 : 494,553.60 = 229,975.20 : x
  2. Step 2: Convert to fraction form
    329,702.40/494,553.60 = 229,975.20/x
  3. Step 3: Cross multiply
    329,702.40x = 494,553.60 × 229,975.20
  4. Step 4: Simplify right side
    329,702.40x = 113,735,063,070.72
  5. Step 5: Solve for x
    x = 113,735,063,070.72/329,702.40
  6. Step 6: Final answer
    x = 344,962.80

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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.