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Finding the Fourth Proportional to 446,651.10, 616,382.40 and 242,702.01

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Solution

The fourth proportional to 446,651.10, 616,382.40 and 242,702.01 is: 334,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,651.10 : 616,382.40 = 242,702.01 : x
  2. Step 2: Convert to fraction form
    446,651.10/616,382.40 = 242,702.01/x
  3. Step 3: Cross multiply
    446,651.10x = 616,382.40 × 242,702.01
  4. Step 4: Simplify right side
    446,651.10x = 149,597,247,408.62
  5. Step 5: Solve for x
    x = 149,597,247,408.62/446,651.10
  6. Step 6: Final answer
    x = 334,930.88

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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.