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Finding the Fourth Proportional to 509,083.52, 701,959.54 and 325,080.14

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Solution

The fourth proportional to 509,083.52, 701,959.54 and 325,080.14 is: 448,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,083.52 : 701,959.54 = 325,080.14 : x
  2. Step 2: Convert to fraction form
    509,083.52/701,959.54 = 325,080.14/x
  3. Step 3: Cross multiply
    509,083.52x = 701,959.54 × 325,080.14
  4. Step 4: Simplify right side
    509,083.52x = 228,193,105,537.54
  5. Step 5: Solve for x
    x = 228,193,105,537.54/509,083.52
  6. Step 6: Final answer
    x = 448,242.96

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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.