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Finding the Fourth Proportional to 509,079.51, 701,954.02 and 325,076.14

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Solution

The fourth proportional to 509,079.51, 701,954.02 and 325,076.14 is: 448,237.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,079.51 : 701,954.02 = 325,076.14 : x
  2. Step 2: Convert to fraction form
    509,079.51/701,954.02 = 325,076.14/x
  3. Step 3: Cross multiply
    509,079.51x = 701,954.02 × 325,076.14
  4. Step 4: Simplify right side
    509,079.51x = 228,188,500,711.51
  5. Step 5: Solve for x
    x = 228,188,500,711.51/509,079.51
  6. Step 6: Final answer
    x = 448,237.45

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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.