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Finding the Fourth Proportional to 617,714.24, 926,581.12 and 243,734

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Solution

The fourth proportional to 617,714.24, 926,581.12 and 243,734 is: 365,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,714.24 : 926,581.12 = 243,734 : x
  2. Step 2: Convert to fraction form
    617,714.24/926,581.12 = 243,734/x
  3. Step 3: Cross multiply
    617,714.24x = 926,581.12 × 243,734
  4. Step 4: Simplify right side
    617,714.24x = 225,839,322,702.08
  5. Step 5: Solve for x
    x = 225,839,322,702.08/617,714.24
  6. Step 6: Final answer
    x = 365,604.85

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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.