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Finding the Fourth Proportional to 312,317.53, 468,279.45 and 264,949.23

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Solution

The fourth proportional to 312,317.53, 468,279.45 and 264,949.23 is: 397,256.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,317.53 : 468,279.45 = 264,949.23 : x
  2. Step 2: Convert to fraction form
    312,317.53/468,279.45 = 264,949.23/x
  3. Step 3: Cross multiply
    312,317.53x = 468,279.45 × 264,949.23
  4. Step 4: Simplify right side
    312,317.53x = 124,070,279,702.32
  5. Step 5: Solve for x
    x = 124,070,279,702.32/312,317.53
  6. Step 6: Final answer
    x = 397,256.85

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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.