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Finding the Fourth Proportional to 380,525.54, 525,129.10 and 229,593.38

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Solution

The fourth proportional to 380,525.54, 525,129.10 and 229,593.38 is: 316,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,525.54 : 525,129.10 = 229,593.38 : x
  2. Step 2: Convert to fraction form
    380,525.54/525,129.10 = 229,593.38/x
  3. Step 3: Cross multiply
    380,525.54x = 525,129.10 × 229,593.38
  4. Step 4: Simplify right side
    380,525.54x = 120,566,161,805.73
  5. Step 5: Solve for x
    x = 120,566,161,805.73/380,525.54
  6. Step 6: Final answer
    x = 316,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.