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Finding the Fourth Proportional to 256,824.41, 384,779.50 and 219,000.76

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Solution

The fourth proportional to 256,824.41, 384,779.50 and 219,000.76 is: 328,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,824.41 : 384,779.50 = 219,000.76 : x
  2. Step 2: Convert to fraction form
    256,824.41/384,779.50 = 219,000.76/x
  3. Step 3: Cross multiply
    256,824.41x = 384,779.50 × 219,000.76
  4. Step 4: Simplify right side
    256,824.41x = 84,267,001,422.97
  5. Step 5: Solve for x
    x = 84,267,001,422.97/256,824.41
  6. Step 6: Final answer
    x = 328,111.35

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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.