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Finding the Fourth Proportional to 651,704.12, 978,084.29 and 336,251.24

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Solution

The fourth proportional to 651,704.12, 978,084.29 and 336,251.24 is: 504,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,704.12 : 978,084.29 = 336,251.24 : x
  2. Step 2: Convert to fraction form
    651,704.12/978,084.29 = 336,251.24/x
  3. Step 3: Cross multiply
    651,704.12x = 978,084.29 × 336,251.24
  4. Step 4: Simplify right side
    651,704.12x = 328,882,051,287.23
  5. Step 5: Solve for x
    x = 328,882,051,287.23/651,704.12
  6. Step 6: Final answer
    x = 504,649.34

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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.