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Finding the Fourth Proportional to 257,594.40, 385,298.10 and 231,131.70

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Solution

The fourth proportional to 257,594.40, 385,298.10 and 231,131.70 is: 345,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,594.40 : 385,298.10 = 231,131.70 : x
  2. Step 2: Convert to fraction form
    257,594.40/385,298.10 = 231,131.70/x
  3. Step 3: Cross multiply
    257,594.40x = 385,298.10 × 231,131.70
  4. Step 4: Simplify right side
    257,594.40x = 89,054,604,859.77
  5. Step 5: Solve for x
    x = 89,054,604,859.77/257,594.40
  6. Step 6: Final answer
    x = 345,716.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.