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Finding the Fourth Proportional to 538,213.57, 743,490.17 and 509,870.05

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Solution

The fourth proportional to 538,213.57, 743,490.17 and 509,870.05 is: 704,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,213.57 : 743,490.17 = 509,870.05 : x
  2. Step 2: Convert to fraction form
    538,213.57/743,490.17 = 509,870.05/x
  3. Step 3: Cross multiply
    538,213.57x = 743,490.17 × 509,870.05
  4. Step 4: Simplify right side
    538,213.57x = 379,083,370,152.41
  5. Step 5: Solve for x
    x = 379,083,370,152.41/538,213.57
  6. Step 6: Final answer
    x = 704,336.33

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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.