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Finding the Fourth Proportional to 365,702.46, 504,724.52 and 210,625

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Solution

The fourth proportional to 365,702.46, 504,724.52 and 210,625 is: 290,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702.46 : 504,724.52 = 210,625 : x
  2. Step 2: Convert to fraction form
    365,702.46/504,724.52 = 210,625/x
  3. Step 3: Cross multiply
    365,702.46x = 504,724.52 × 210,625
  4. Step 4: Simplify right side
    365,702.46x = 106,307,602,025
  5. Step 5: Solve for x
    x = 106,307,602,025/365,702.46
  6. Step 6: Final answer
    x = 290,694.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.