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Finding the Fourth Proportional to 509,084.02, 701,960.23 and 325,080.64

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Solution

The fourth proportional to 509,084.02, 701,960.23 and 325,080.64 is: 448,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,084.02 : 701,960.23 = 325,080.64 : x
  2. Step 2: Convert to fraction form
    509,084.02/701,960.23 = 325,080.64/x
  3. Step 3: Cross multiply
    509,084.02x = 701,960.23 × 325,080.64
  4. Step 4: Simplify right side
    509,084.02x = 228,193,680,822.95
  5. Step 5: Solve for x
    x = 228,193,680,822.95/509,084.02
  6. Step 6: Final answer
    x = 448,243.65

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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.