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Finding the Fourth Proportional to 361,702.53, 499,155.48 and 200,564.37

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Solution

The fourth proportional to 361,702.53, 499,155.48 and 200,564.37 is: 276,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,702.53 : 499,155.48 = 200,564.37 : x
  2. Step 2: Convert to fraction form
    361,702.53/499,155.48 = 200,564.37/x
  3. Step 3: Cross multiply
    361,702.53x = 499,155.48 × 200,564.37
  4. Step 4: Simplify right side
    361,702.53x = 100,112,804,378.25
  5. Step 5: Solve for x
    x = 100,112,804,378.25/361,702.53
  6. Step 6: Final answer
    x = 276,782.15

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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.