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Finding the Fourth Proportional to 525,643.80, 788,033.70 and 226,354.20

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Solution

The fourth proportional to 525,643.80, 788,033.70 and 226,354.20 is: 339,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,643.80 : 788,033.70 = 226,354.20 : x
  2. Step 2: Convert to fraction form
    525,643.80/788,033.70 = 226,354.20/x
  3. Step 3: Cross multiply
    525,643.80x = 788,033.70 × 226,354.20
  4. Step 4: Simplify right side
    525,643.80x = 178,374,737,736.54
  5. Step 5: Solve for x
    x = 178,374,737,736.54/525,643.80
  6. Step 6: Final answer
    x = 339,345.27

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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.