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Finding the Fourth Proportional to 530,165.92, 795,222.96 and 197,716

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Solution

The fourth proportional to 530,165.92, 795,222.96 and 197,716 is: 296,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,165.92 : 795,222.96 = 197,716 : x
  2. Step 2: Convert to fraction form
    530,165.92/795,222.96 = 197,716/x
  3. Step 3: Cross multiply
    530,165.92x = 795,222.96 × 197,716
  4. Step 4: Simplify right side
    530,165.92x = 157,228,302,759.36
  5. Step 5: Solve for x
    x = 157,228,302,759.36/530,165.92
  6. Step 6: Final answer
    x = 296,564.33

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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.