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Finding the Fourth Proportional to 509,832, 703,085.40 and 371,885.76

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Solution

The fourth proportional to 509,832, 703,085.40 and 371,885.76 is: 512,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,832 : 703,085.40 = 371,885.76 : x
  2. Step 2: Convert to fraction form
    509,832/703,085.40 = 371,885.76/x
  3. Step 3: Cross multiply
    509,832x = 703,085.40 × 371,885.76
  4. Step 4: Simplify right side
    509,832x = 261,467,448,323.90
  5. Step 5: Solve for x
    x = 261,467,448,323.90/509,832
  6. Step 6: Final answer
    x = 512,850.21

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