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Finding the Fourth Proportional to 256,362.32, 383,786.20 and 189,357.52

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Solution

The fourth proportional to 256,362.32, 383,786.20 and 189,357.52 is: 283,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,362.32 : 383,786.20 = 189,357.52 : x
  2. Step 2: Convert to fraction form
    256,362.32/383,786.20 = 189,357.52/x
  3. Step 3: Cross multiply
    256,362.32x = 383,786.20 × 189,357.52
  4. Step 4: Simplify right side
    256,362.32x = 72,672,803,042.22
  5. Step 5: Solve for x
    x = 72,672,803,042.22/256,362.32
  6. Step 6: Final answer
    x = 283,476.93

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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.