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Finding the Fourth Proportional to 530,464.08, 795,887.96 and 327,823

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Solution

The fourth proportional to 530,464.08, 795,887.96 and 327,823 is: 491,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,464.08 : 795,887.96 = 327,823 : x
  2. Step 2: Convert to fraction form
    530,464.08/795,887.96 = 327,823/x
  3. Step 3: Cross multiply
    530,464.08x = 795,887.96 × 327,823
  4. Step 4: Simplify right side
    530,464.08x = 260,910,378,711.08
  5. Step 5: Solve for x
    x = 260,910,378,711.08/530,464.08
  6. Step 6: Final answer
    x = 491,853.06

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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.