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Finding the Fourth Proportional to 384,768.45, 531,334.76 and 257,813.10

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Solution

The fourth proportional to 384,768.45, 531,334.76 and 257,813.10 is: 356,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,768.45 : 531,334.76 = 257,813.10 : x
  2. Step 2: Convert to fraction form
    384,768.45/531,334.76 = 257,813.10/x
  3. Step 3: Cross multiply
    384,768.45x = 531,334.76 × 257,813.10
  4. Step 4: Simplify right side
    384,768.45x = 136,985,060,324.29
  5. Step 5: Solve for x
    x = 136,985,060,324.29/384,768.45
  6. Step 6: Final answer
    x = 356,019.47

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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.