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Finding the Fourth Proportional to 541,199.34, 746,934.41 and 311,711.96

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Solution

The fourth proportional to 541,199.34, 746,934.41 and 311,711.96 is: 430,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,199.34 : 746,934.41 = 311,711.96 : x
  2. Step 2: Convert to fraction form
    541,199.34/746,934.41 = 311,711.96/x
  3. Step 3: Cross multiply
    541,199.34x = 746,934.41 × 311,711.96
  4. Step 4: Simplify right side
    541,199.34x = 232,828,391,579.16
  5. Step 5: Solve for x
    x = 232,828,391,579.16/541,199.34
  6. Step 6: Final answer
    x = 430,208.20

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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.