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Finding the Fourth Proportional to 525,732.80, 788,167.20 and 226,443.20

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Solution

The fourth proportional to 525,732.80, 788,167.20 and 226,443.20 is: 339,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,732.80 : 788,167.20 = 226,443.20 : x
  2. Step 2: Convert to fraction form
    525,732.80/788,167.20 = 226,443.20/x
  3. Step 3: Cross multiply
    525,732.80x = 788,167.20 × 226,443.20
  4. Step 4: Simplify right side
    525,732.80x = 178,475,102,903.04
  5. Step 5: Solve for x
    x = 178,475,102,903.04/525,732.80
  6. Step 6: Final answer
    x = 339,478.73

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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.